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Dikranjan, Dikran N.

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Author ID: dikranjan.dikran-n Recent zbMATH articles by "Dikranjan, Dikran N."
Published as: Dikranjan, Dikran; Dikranjan, D.; Dikranjan, Dikran N.; Dikranyan, Dikran; Dikranjan, D. N.; Dikranyan, Dikran N.; Dikranyan, D. N.
Homepage: https://users.dimi.uniud.it/~dikran.dikranjan/
External Links: MGP · ORCID
Documents Indexed: 243 Publications since 1976, including 4 Books
1 Contribution as Editor
Reviewing Activity: 41 Reviews
Biographic References: 1 Publication
Co-Authors: 89 Co-Authors with 202 Joint Publications
1,331 Co-Co-Authors
all top 5

Co-Authors

42 single-authored
35 Giordano Bruno, Anna
23 Shakhmatov, Dmitri B.
10 Tkachenko, Mikhail Gelievich
10 Toller, Daniele
9 Giuli, Eraldo
8 Außenhofer, Lydia
8 Milan, Chiara
8 Stoyanov, Luchezar N.
7 Berarducci, Alessandro
7 Pelant, Jan
7 Salce, Luigi
7 Zava, Nicolò
6 Impieri, Daniele
6 Martin Peinador, Elena
5 Barbieri, Giuseppina Gerarda
5 Lukács, Gábor
5 Orsatti, Adalberto
5 Tarieladze, Vasha I.
5 Watson, William Stephen
5 Weber, Hans Josef Karl
5 Xi, Wenfei
4 Comfort, William Wistar
4 Protasov, Igor Volodymyrovych
4 Tholen, Walter
4 Tonolo, Alberto
4 Virili, Simone
3 Biś, Andrzej
3 Chasco, María Jesús
3 Ciesielski, Krzysztof Chris
3 Di Santo, Raffaele
3 Künzi, Hans-Peter A.
3 Prodanov, Ivan R.
3 Rodinó, Nikola
3 Sanchis, Manuel
3 Zanardo, Paolo
2 Ayatollah Zadeh Shirazi, Fatemah
2 Boschi, Elena
2 Dardano, Ulderico
2 de Leo, Lorenzo
2 Domínguez, Xabier
2 Fornasiero, Antongiulio
2 Freni, Domenico
2 Frič, Roman
2 Gabriyelyan, Saak S.
2 Megrelishvili, Michael G.
2 Shlossberg, Menachem
2 Spěvák, Jan
2 Tkachuk, Vladimir Vladimirovich
2 Uspenskiĭ, Vladimir Vladimirovich
2 Xiao, Zhiqiang
2 Yaschenko, Ivan V.
1 Akhavin, Maryam
1 Alcaraz, Domingo
1 Ballico, Edoardo
1 Bazigaran, Behnam
1 Berlai, Federico
1 Bonatto, Marco
1 Bose, Kumardipta
1 Castellano, Ilaria
1 Clementino, Maria Manuel
1 Corbacho, Eusebio
1 Das, Pratulananda
1 De La Barrera Mayoral, Daniel
1 Ferrer, Maria Vicenta
1 Forti, Marco
1 Goldsmith, Brendan
1 Gotchev, Ivan S.
1 Gregorio, Enrico
1 Hernández, Salvador
1 Hosseini, Arezoo
1 Khass, Hossein
1 Kunen, Kenneth
1 Marconi, Umberto
1 Miyazaki, Kazumi
1 Moresco, Roberto
1 Morris, Sidney A.
1 Nogura, Tsugunori
1 Peng, Dekui
1 Policriti, Alberto
1 Protasova, Ksenia D.
1 Rinauro, Silvana
1 Russo, Francesco Giuseppe
1 Salizzoni, Flavio
1 Toi, A.
1 Trigos-Arrieta, F. Javier
1 Więsław, Witold Ignacy
1 Yamauchi, Takamitsu
1 Zannier, Umberto M.
1 Zanolin, Fabio
all top 5

Serials

58 Topology and its Applications
13 Journal of Pure and Applied Algebra
9 Communications in Algebra
7 Journal of Mathematical Analysis and Applications
7 Proceedings of the American Mathematical Society
6 Journal of Algebra
6 Topology Proceedings
5 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
5 Journal of Group Theory
5 Applied General Topology
5 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika
4 Forum Mathematicum
4 Doklady Bolgarskoĭ Akademii Nauk
4 Applied Categorical Structures
3 Advances in Mathematics
3 Fundamenta Mathematicae
3 Mathematische Nachrichten
3 Quaestiones Mathematicae
3 Rendiconti del Seminario Matematico della Università di Padova
3 Questions and Answers in General Topology
3 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Colloquium Mathematicum
2 Commentationes Mathematicae Universitatis Carolinae
2 Dissertationes Mathematicae
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Rendiconti della Accademia Nazionale delle Scienze Detta dei XL. Memorie di Matemàtica. Serie V
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Journal of Algebra and its Applications
2 Applied General Topology
2 Axioms
1 Bulletin of the Australian Mathematical Society
1 Discrete Mathematics
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Commentarii Mathematici Universitatis Sancti Pauli
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 Memoirs of the American Mathematical Society
1 Ricerche di Matematica
1 Note di Matematica
1 Acta Mathematica Hungarica
1 Zbornik Radova Filozofskog Fakulteta u Nisu. Serija Matematika
1 Rivista di Matemàtica Pura ed Applicata
1 Linear Algebra and its Applications
1 Serdica
1 Bollettino della Unione Matemàtica Italiana. Serie VI. B
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Journal of Mathematical Sciences (New York)
1 Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Serie V. Memorie di Matemàtica
1 Revista Matemática Complutense
1 RIMS Kokyuroku
1 Qualitative Theory of Dynamical Systems
1 Scientiae Mathematicae Japonicae
1 De Gruyter Studies in Mathematics
1 Lecture Notes in Pure and Applied Mathematics
1 Mathematics and its Applications (Dordrecht)
1 Pure and Applied Mathematics, Marcel Dekker
1 International Journal of Group Theory
1 Topological Algebra and its Applications
1 Advances in Group Theory and Applications

Publications by Year

Citations contained in zbMATH Open

217 Publications have been cited 2,097 times in 678 Documents Cited by Year
Categorical structure of closure operators. With applications to topology, algebra and discrete mathematics. Zbl 0853.18002
Dikranjan, D.; Tholen, W.
128
1995
Closure operators. I. Zbl 0634.54008
Dikranjan, Dikran; Giuli, Eraldo
101
1987
Topological groups. Characters, dualities, and minimal group topologies. Zbl 0687.22001
Dikranjan, Dikran N.; Stoyanov, Luchezar N.; Prodanov, Ivan R.
76
1990
Algebraic entropy for Abelian groups. Zbl 1176.20057
Dikranjan, Dikran; Goldsmith, Brendan; Salce, Luigi; Zanardo, Paolo
62
2009
Entropy on abelian groups. Zbl 1368.37015
Dikranjan, Dikran; Giordano Bruno, Anna
39
2016
A characterization of the maximally almost periodic abelian groups. Zbl 1065.22003
Dikranjan, Dikran; Milan, Chiara; Tonolo, Alberto
36
2005
Answer to Raczkowski’s questions on convergent sequences of integers. Zbl 1022.22001
Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans
34
2003
Algebraic structure of pseudocompact groups. Zbl 0907.22005
Dikranjan, Dikran; Shakhmatov, Dmitri
33
1998
Totally minimal topological groups. Zbl 0443.22002
Dikranjan, Dikran; Prodanov, Ivan
30
1979
New and old facts about entropy in uniform spaces and topological groups. Zbl 1242.54005
Dikranjan, Dikran; Sanchis, Manuel; Virili, Simone
29
2012
Topological entropy and algebraic entropy for group endomorphisms. Zbl 1300.54002
Dikranjan, Dikran; Giordano Bruno, Anna
28
2012
Categorically compact topological groups. Zbl 0887.22001
Dikranjan, Dikran N.; Uspenskij, V. V.
26
1998
Characterizing subgroups of compact Abelian groups. Zbl 1109.22002
Dikranjan, Dikran; Kunen, Kenneth
26
2007
Recent advances in minimal topological groups. Zbl 0983.54037
Dikranjan, Dikran
24
1998
Fully inert subgroups of divisible Abelian groups. Zbl 1292.20062
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone
24
2013
Forcing hereditarily separable compact-like group topologies on Abelian groups. Zbl 1068.22001
Dikranjan, Dikran; Shakhmatov, Dmitri
23
2005
Topologically torsion elements of topological groups. Zbl 1082.22001
Dikranjan, Dikran
23
2002
Intrinsic algebraic entropy. Zbl 1355.20041
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone
22
2015
Zero-dimensionality of some pseudocompact groups. Zbl 0846.54027
Dikranjan, Dikran
20
1994
Torsion theories and radicals in normal categories. Zbl 1121.18010
Clementino, M. M.; Dikranjan, D.; Tholen, W.
20
2006
The connection between topological and algebraic entropy. Zbl 1256.54061
Dikranjan, Dikran; Giordano Bruno, Anna
20
2012
Algebraic structure of small countably compact Abelian groups. Zbl 1058.22001
Dikranjan, D.; Tkachenko, M.
19
2003
Fully inert subgroups of free Abelian groups. Zbl 1322.20046
Dikranjan, D.; Salce, L.; Zanardo, P.
19
2014
The Markov-Zariski topology of an abelian group. Zbl 1211.22002
Dikranjan, Dikran; Shakhmatov, Dmitri
19
2010
The Pinsker subgroup of an algebraic flow. Zbl 1247.37014
Dikranjan, Dikran; Giordano Bruno, Anna
18
2012
The Bridge Theorem for totally disconnected LCA groups. Zbl 1322.37007
Dikranjan, Dikran; Giordano Bruno, Anna
18
2014
Topological torsion related to some recursive sequences of integers. Zbl 1144.11059
Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans
18
2008
Factorizations, injectivity and compactness in categories of modules. Zbl 0726.16005
Dikranjan, Dikran; Giuli, Eraldo
18
1991
Minimality conditions in topological groups. Zbl 1308.54002
Dikranjan, Dikran; Megrelishvili, Michael
17
2014
Adjoint algebraic entropy. Zbl 1201.20053
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi
17
2010
Answer to Armacost’s quest on topologically torsion elements of the circle group. Zbl 1050.22007
Dikranjan, Dikran; Di Santo, Raffaele
16
2004
Some categorical aspects of coarse spaces and balleans. Zbl 1377.54027
Dikranjan, Dikran; Zava, Nicolò
16
2017
Closure operators induced by topological epireflections. Zbl 0601.54016
Dikranjan, D.; Giuli, E.
16
1985
Group valued null sequences and metrizable non-Mackey groups. Zbl 1307.22002
Dikranjan, Dikran; Martín-Peinador, Elena; Tarieladze, Vaja
16
2014
Epimorphisms and cowellpoweredness of epireflective subcategories of TOP. Zbl 0588.54017
Dikranjan, D.; Giuli, E.
16
1984
Characterizing sequences for precompact group topologies. Zbl 1308.54023
Dikranjan, D.; Gabriyelyan, S. S.; Tarieladze, V.
16
2014
Closure operators in topological groups related to von Neumann’s kernel. Zbl 1104.18001
Dikranjan, Dikran
15
2006
Discrete dynamical systems in group theory. Zbl 1280.37023
Dikranjan, Dikran; Giordano Bruno, Anna
15
2013
Compact-like totally dense subgroups of compact groups. Zbl 0781.54018
Dikranjan, Dikran N.; Shakhmatov, Dmitrij B.
14
1992
Topological categories and closure operators. Zbl 0657.18003
Dikranjan, D.; Giuli, E.; Toi, A.
14
1988
Compactness and connectedness in topological groups. Zbl 0995.54036
Dikranjan, Dikran
14
1998
Dimension and connectedness in pseudo-compact groups. Zbl 0783.54029
Dikranjan, Dikran
13
1993
Sequential completeness of quotient groups. Zbl 0943.22001
Dikranjan, Dikran; Tkačenko, Michael
13
2000
S(n)-\(\theta\)-closed spaces. Zbl 0658.54015
Dikranjan, D.; Giuli, E.
13
1988
Locally minimal topological groups. I. Zbl 1225.22002
Außenhofer, Lydia; Chasco, M. J.; Dikranjan, Dikran; Domínguez, Xabier
13
2010
Countably compact groups satisfying the open mapping theorem. Zbl 0970.54034
Dikranjan, Dikran
12
1999
A solution to van Douwen’s problem on Bohr topologies. Zbl 0983.22001
Dikranjan, Dikran; Watson, Stephen
12
2001
Subgroups of products of locally compact groups. Zbl 1082.22002
Dikranjan, Dikran; Morris, Sidney A.
12
2002
Convergent sequences in precompact group topologies. Zbl 1092.22001
Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans
12
2005
On characterized subgroups of compact abelian groups. Zbl 1280.22003
Dikranjan, D.; Gabriyelyan, S. S.
12
2013
A survey on reflexivity of abelian topological groups. Zbl 1247.22001
Chasco, M. J.; Dikranjan, D.; Martín-Peinador, E.
12
2012
Locally minimal topological groups. II. Zbl 1216.22002
Außenhofer, Lydia; Chasco, María Jesús; Dikranjan, Dikran; Domínguez, Xabier
12
2011
Topological groups with thin generating sets. Zbl 0964.22002
Dikranjan, D.; Tkačenko, M.; Tkachuk, V.
11
2000
Chains of pseudocompact group topologies. Zbl 0909.22002
Dikranjan, Dikran
11
1998
Cardinal invariants and independence results in the poset of precompact group topologies. Zbl 0909.22003
Berarducci, Alessandro; Dikranjan, Dikran; Forti, Marco; Watson, Stephen
11
1998
Bowen’s entropy for endomorphisms of totally bounded abelian groups. Zbl 1317.22001
Alcaraz, Domingo; Dikranjan, Dikran; Sanchis, Manuel
11
2014
On transversal group topologies. Zbl 1114.22001
Dikranjan, Dikran; Tkachenko, Mikhail; Yaschenko, Ivan
11
2005
Limit free computation of entropy. Zbl 1277.37031
Dikranjan, Dikran; Giordano Bruno, Anna
11
2012
Endomorphisms of abelian groups with small algebraic entropy. Zbl 1320.37013
Dikranjan, D.; Gong, K.; Zanardo, P.
11
2013
Topologically torsion elements of the circle group. Zbl 1291.22008
Dikranjan, Dikran; Impieri, Daniele
11
2014
Reflection principle characterizing groups in which unconditionally closed sets are algebraic. Zbl 1167.22001
Dikranjan, Dikran; Shakhmatov, Dmitri
11
2008
Algebraic entropy of shift endomorphisms on abelian groups. Zbl 1194.37015
Akhavin, Maryam; Dikranjan, Dikran; Giordano Bruno, Anna; Hosseini, Arezoo; Shirazi, Fatemah Ayatollah Zadeh
11
2009
Quasi-convex density and determining subgroups of compact Abelian groups. Zbl 1178.22005
Dikranjan, Dikran; Shakhmatov, Dmitri
11
2010
Locally quasi-convex compatible topologies on a topological group. Zbl 1371.22001
Außenhofer, Lydia; Dikranjan, Dikran; Martín-Peinador, Elena
10
2015
Countably infinite quasi-convex sets in some locally compact abelian groups. Zbl 1195.22001
Dikranjan, Dikran; de Leo, Lorenzo
10
2010
“Varopoulos paradigm”: Mackey property versus metrizability in topological groups. Zbl 1360.22002
Außenhofer, Lydia; de la Barrera Mayoral, D.; Dikranjan, D.; Martín-Peinador, E.
10
2017
w-divisible groups. Zbl 1149.22004
Dikranjan, Dikran; Giordano Bruno, Anna
10
2008
On convergence groups with dense coarse subgroups. Zbl 0637.22002
Dikranjan, Dikran; Frič, Roman; Zanolin, Fabio
10
1987
Weakly metrizable pseudocompact groups. Zbl 1127.22003
Dikranjan, Dikran; Giordano Bruno, Anna; Milan, Chiara
10
2006
Pseudocompact and countably compact Abelian groups: Cartesian products and minimality. Zbl 0786.54008
Dikranjan, Dikran N.; Shakhmatov, Dmitrii B.
9
1993
Characterized subgroups of the circle group. Zbl 1405.54017
Di Santo, Raffaele; Dikranjan, Dikran; Giordano Bruno, Anna
9
2018
Weakly complete free topological groups. Zbl 0979.54038
Dikranjan, Dikran; Tkačenko, Michael
9
2001
Dual closure operators and their applications. Zbl 1320.18002
Dikranjan, Dikran; Tholen, Walter
9
2015
A complete solution of Markov’s problem on connected group topologies. Zbl 1331.22003
Dikranjan, Dikran; Shakhmatov, Dmitri
9
2016
On the poset of precompact group topologies. Zbl 0890.54040
Dikranjan, D.
9
1995
Algebraic entropy for amenable semigroup actions. Zbl 1453.20074
Dikranjan, Dikran; Fornasiero, Antongiulio; Giordano Bruno, Anna
9
2020
Counting maximal topologies on countable groups and rings. Zbl 1171.54029
Dikranjan, D.; Protasov, Igor
9
2008
On characterization of linear compactness. Zbl 1006.18007
Dikranjan, Dikran; Tonolo, Alberto
9
1995
Characterized subgroups of topological abelian groups. Zbl 1371.22002
Dikranjan, Dikran; Giordano Bruno, Anna; Impieri, Daniele
8
2015
Locally compact abelian groups admitting non-trivial quasi-convex null sequences. Zbl 1186.22008
Dikranjan, D.; Lukács, Gábor
8
2010
Some topological groups with and some without suitable sets. Zbl 0983.54038
Dikranjan, D.; Tkačenko, M.; Tkachuk, V.
8
1999
Separation and epimorphisms in quasi-uniform spaces. Zbl 0964.54021
Dikranjan, Dikran; Künzi, Hans-Peter
8
2000
Connectedness and disconnectedness in pseudocompact groups. Zbl 0834.22005
Dikranjan, Dikran
8
1992
Pseudocompact totally dense subgroups. Zbl 1138.22003
Dikranjan, Dikran; Giordano Bruno, Anna
8
2008
Arnautov’s problems on semitopological isomorphisms. Zbl 1213.22003
Dikranjan, D.; Giordano Bruno, A.
8
2009
Relative minimality and co-minimality of subgroups in topological groups. Zbl 1190.22002
Dikranjan, Dikran; Megrelishvili, Michael
8
2010
Semiregular closure operators and epimorphisms in topological categories. Zbl 0782.54009
Dikranjan, Dikran N.
7
1992
Quasi-convex sequences in the circle and the 3-adic integers. Zbl 1225.22003
Dikranjan, D.; Lukács, Gábor
7
2010
On an unpublished manuscript of Ivan Prodanov concerning locally compact modules and their dualities. Zbl 0689.16018
Dikranjan, Dikran; Orsatti, Adalberto
7
1989
Pseudocompact topologizations of groups. Zbl 0705.22002
Dikranjan, Dikran N.; Shakhmatov, Dmitrij B.
7
1990
Sequentially complete groups: Dimension and minimality. Zbl 0976.22002
Dikranjan, Dikran; Tkačenko, Michael
7
2001
The lattice of compact representations of an infinite group. Zbl 0848.22002
Dikranjan, Dikran
7
1995
An additivity theorem for uniformly continuous functions. Zbl 1078.54014
Berarducci, Alessandro; Dikranjan, Dikran; Pelant, Jan
7
2005
Topological groups with many small subgroups. Zbl 1383.18003
Dikranjan, Dikran; Shakhmatov, Dmitri
7
2016
Entropy in a category. Zbl 1337.18005
Dikranjan, Dikran; Giordano Bruno, Anna
7
2013
Balleans, hyperballeans and ideals. Zbl 1429.54035
Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò
7
2019
Entropy on normed semigroups (towards a unifying approach to entropy). Zbl 1429.16002
Dikranjan, Dikran; Bruno, Anna Giordano
7
2019
Statistically characterized subgroups of the circle. Zbl 1453.22003
Dikranjan, Dikran; Das, Pratulananda; Bose, Kumardipta
7
2020
Scale function vs topological entropy. Zbl 1315.37014
Berlai, Federico; Dikranjan, Dikran; Giordano Bruno, Anna
7
2013
Set-theoretical entropy: a tool to compute topological entropy. Zbl 1301.54037
Shirazi, Fatemah Ayatollah Zadeh; Dikranjan, Dikran
7
2012
Generalized quasi-metric semilattices. Zbl 1490.06003
Dikranjan, Dikran; Giordano Bruno, Anna; Künzi, Hans-Peter; Zava, Nicolò; Toller, Daniele
1
2022
Topological entropy, upper Carathéodory capacity and fractal dimensions of semigroup actions. Zbl 1490.37020
Biś, Andrzej; Dikranjan, Dikran; Bruno, Anna Giordano; Stoyanov, Luchezar
2
2021
Metric versus topological receptive entropy of semigroup actions. Zbl 1475.37023
Biś, Andrzej; Dikranjan, Dikran; Giordano Bruno, Anna; Stoyanov, Luchezar
1
2021
Algebraic entropy for amenable semigroup actions. Zbl 1453.20074
Dikranjan, Dikran; Fornasiero, Antongiulio; Giordano Bruno, Anna
9
2020
Statistically characterized subgroups of the circle. Zbl 1453.22003
Dikranjan, Dikran; Das, Pratulananda; Bose, Kumardipta
7
2020
On uniformly fully inert subgroups of abelian groups. Zbl 1445.20046
Dardano, Ulderico; Dikranjan, Dikran; Salce, Luigi
5
2020
Locally quasi-convex compatible topologies on locally compact abelian groups. Zbl 1442.22005
Außenhofer, Lydia; Dikranjan, Dikran
3
2020
Categories of coarse groups: quasi-homomorphisms and functorial coarse structures. Zbl 1442.18025
Dikranjan, Dikran; Zava, Nicolò
1
2020
Algebraic entropies of commuting endomorphisms of torsion abelian groups. Zbl 1496.20086
Biś, Andrzej; Dikranjan, Dikran; Bruno, Anna Giordano; Stoyanov, Luchezar
1
2020
Balleans, hyperballeans and ideals. Zbl 1429.54035
Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò
7
2019
Entropy on normed semigroups (towards a unifying approach to entropy). Zbl 1429.16002
Dikranjan, Dikran; Bruno, Anna Giordano
7
2019
Dimension and entropy in compact topological groups. Zbl 1459.22001
Dikranjan, Dikran; Sanchis, Manuel
4
2019
Hereditarily minimal topological groups. Zbl 1458.22002
Xi, Wenfei; Dikranjan, Dikran; Shlossberg, Menachem; Toller, Daniele
4
2019
Quotients of locally minimal groups. Zbl 1414.22007
Peng, Dekui; Dikranjan, Dikran; He, Wei; Xiao, Zhiqiang; Xi, Wenfei
3
2019
Hyperballeans of groups. Zbl 1425.54011
Dikranjan, D.; Protasov, I.; Zava, N.
3
2019
Locally compact groups and locally minimal group topologies. Zbl 1415.22004
Xi, Wenfei; Dikranjan, Dikran; He, Wei; Xiao, Zhiqiang
3
2019
Densely locally minimal groups. Zbl 1422.22005
Xi, W.; Dikranjan, D.; Shlossberg, M.; Toller, D.
1
2019
Characterized subgroups of the circle group. Zbl 1405.54017
Di Santo, Raffaele; Dikranjan, Dikran; Giordano Bruno, Anna
9
2018
Inertial properties in groups. Zbl 1442.20023
Dardano, Ulderico; Dikranjan, Dikran; Rinauro, Silvana
6
2018
Cowellpoweredness of some categories of quasi-uniform spaces. Zbl 1408.18002
Dikranjan, Dikran; Künzi, Hans-Peter A.
2
2018
Zariski topology and Markov topology on groups. Zbl 1478.22002
Dikranjan, Dikran; Toller, Daniele
1
2018
Characterizing Lie groups by controlling their zero-dimensional subgroups. Zbl 1393.22006
Dikranjan, Dikran; Shakhmatov, Dmitri
1
2018
Some categorical aspects of coarse spaces and balleans. Zbl 1377.54027
Dikranjan, Dikran; Zava, Nicolò
16
2017
“Varopoulos paradigm”: Mackey property versus metrizability in topological groups. Zbl 1360.22002
Außenhofer, Lydia; de la Barrera Mayoral, D.; Dikranjan, D.; Martín-Peinador, E.
10
2017
The Mackey topology problem: a complete solution for bounded groups. Zbl 1379.22001
Außenhofer, L.; Dikranjan, D.
5
2017
Preservation and reflection of size properties of balleans. Zbl 1423.54053
Dikranjan, Dikran; Zava, Nicolò
5
2017
Dirichlet sets vs characterized subgroups. Zbl 1393.54018
Barbieri, Giuseppina; Dikranjan, Dikran; Giordano Bruno, Anna; Weber, Hans
4
2017
Entropy on abelian groups. Zbl 1368.37015
Dikranjan, Dikran; Giordano Bruno, Anna
39
2016
A complete solution of Markov’s problem on connected group topologies. Zbl 1331.22003
Dikranjan, Dikran; Shakhmatov, Dmitri
9
2016
Topological groups with many small subgroups. Zbl 1383.18003
Dikranjan, Dikran; Shakhmatov, Dmitri
7
2016
On the Borel complexity of characterized subgroups. Zbl 1348.22006
Dikranjan, Dikran; Impieri, Daniele
6
2016
Direct sums and products in topological groups and vector spaces. Zbl 1335.22004
Dikranjan, Dikran; Shakhmatov, Dmitri; Spěvák, Jan
4
2016
Intrinsic algebraic entropy. Zbl 1355.20041
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone
22
2015
Locally quasi-convex compatible topologies on a topological group. Zbl 1371.22001
Außenhofer, Lydia; Dikranjan, Dikran; Martín-Peinador, Elena
10
2015
Dual closure operators and their applications. Zbl 1320.18002
Dikranjan, Dikran; Tholen, Walter
9
2015
Characterized subgroups of topological abelian groups. Zbl 1371.22002
Dikranjan, Dikran; Giordano Bruno, Anna; Impieri, Daniele
8
2015
A factorization theorem for topological abelian groups. Zbl 1334.22001
Dikranjan, Dikran; Giordano Bruno, Anna
4
2015
On Hewitt groups and finer locally compact group topologies. Zbl 1347.22002
Dikranjan, Dikran; Impieri, Daniele
3
2015
Countable powers of compact abelian groups in the uniform topology and cardinality of their dual groups. Zbl 1339.22002
Dikranjan, D.; Martin-Peinador, E.; Tarieladze, V.
1
2015
Fully inert subgroups of free Abelian groups. Zbl 1322.20046
Dikranjan, D.; Salce, L.; Zanardo, P.
19
2014
The Bridge Theorem for totally disconnected LCA groups. Zbl 1322.37007
Dikranjan, Dikran; Giordano Bruno, Anna
18
2014
Minimality conditions in topological groups. Zbl 1308.54002
Dikranjan, Dikran; Megrelishvili, Michael
17
2014
Group valued null sequences and metrizable non-Mackey groups. Zbl 1307.22002
Dikranjan, Dikran; Martín-Peinador, Elena; Tarieladze, Vaja
16
2014
Characterizing sequences for precompact group topologies. Zbl 1308.54023
Dikranjan, D.; Gabriyelyan, S. S.; Tarieladze, V.
16
2014
Bowen’s entropy for endomorphisms of totally bounded abelian groups. Zbl 1317.22001
Alcaraz, Domingo; Dikranjan, Dikran; Sanchis, Manuel
11
2014
Topologically torsion elements of the circle group. Zbl 1291.22008
Dikranjan, Dikran; Impieri, Daniele
11
2014
The density nucleus of a topological group. Zbl 1285.22002
Comfort, W. W.; Dikranjan, Dikran
7
2014
Questions on the Borel complexity of characterized subgroups. Zbl 1362.22006
Dikranjan, Dikran; Impieri, Daniele
5
2014
Compact-like abelian groups without non-trivial quasi-convex null sequences. Zbl 1280.22002
Dikranjan, D.; Lukács, Gábor
4
2014
Fully inert subgroups of divisible Abelian groups. Zbl 1292.20062
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone
24
2013
Discrete dynamical systems in group theory. Zbl 1280.37023
Dikranjan, Dikran; Giordano Bruno, Anna
15
2013
On characterized subgroups of compact abelian groups. Zbl 1280.22003
Dikranjan, D.; Gabriyelyan, S. S.
12
2013
Endomorphisms of abelian groups with small algebraic entropy. Zbl 1320.37013
Dikranjan, D.; Gong, K.; Zanardo, P.
11
2013
Entropy in a category. Zbl 1337.18005
Dikranjan, Dikran; Giordano Bruno, Anna
7
2013
Scale function vs topological entropy. Zbl 1315.37014
Berlai, Federico; Dikranjan, Dikran; Giordano Bruno, Anna
7
2013
Metrization criteria for compact groups in terms of their dense subgroups. Zbl 1283.22004
Dikranjan, Dikran; Shakhmatov, Dmitri
5
2013
Compact groups with a dense free abelian subgroup. Zbl 1295.22011
Dikranjan, Dikran; Giordano Bruno, Anna
3
2013
Metrizability of hereditarily normal compact like groups. Zbl 1304.22001
Dikranjan, Dikran; Impieri, Daniele; Toller, Daniele
1
2013
Productivity of the Zariski topology on groups. Zbl 1274.20038
Dikranjan, Dikran; Toller, Daniele
1
2013
New and old facts about entropy in uniform spaces and topological groups. Zbl 1242.54005
Dikranjan, Dikran; Sanchis, Manuel; Virili, Simone
29
2012
Topological entropy and algebraic entropy for group endomorphisms. Zbl 1300.54002
Dikranjan, Dikran; Giordano Bruno, Anna
28
2012
The connection between topological and algebraic entropy. Zbl 1256.54061
Dikranjan, Dikran; Giordano Bruno, Anna
20
2012
The Pinsker subgroup of an algebraic flow. Zbl 1247.37014
Dikranjan, Dikran; Giordano Bruno, Anna
18
2012
A survey on reflexivity of abelian topological groups. Zbl 1247.22001
Chasco, M. J.; Dikranjan, D.; Martín-Peinador, E.
12
2012
Limit free computation of entropy. Zbl 1277.37031
Dikranjan, Dikran; Giordano Bruno, Anna
11
2012
Set-theoretical entropy: a tool to compute topological entropy. Zbl 1301.54037
Shirazi, Fatemah Ayatollah Zadeh; Dikranjan, Dikran
7
2012
Markov’s problems through the looking glass of Zariski and Markov topologies. Zbl 1295.22002
Dikranjan, D.; Toller, D.
5
2012
The Markov and Zariski topologies of some linear groups. Zbl 1277.22002
Dikranjan, D.; Toller, D.
3
2012
On the quasi-component of pseudocompact abelian groups. Zbl 1238.22002
Dikranjan, D.; Lukács, Gábor
2
2012
Quasi-convexly dense and suitable sets in the arc component of a compact group. Zbl 1241.22003
Dikranjan, Dikran; Shakhmatov, Dmitri
1
2012
Locally minimal topological groups. II. Zbl 1216.22002
Außenhofer, Lydia; Chasco, María Jesús; Dikranjan, Dikran; Domínguez, Xabier
12
2011
A characterization of the circle group via uniqueness of roots. Zbl 1254.22004
Dikranjan, Dikran; Di Santo, Raffaele
7
2011
A Kronecker-Weyl theorem for subsets of Abelian groups. Zbl 1266.20063
Dikranjan, Dikran; Shakhmatov, Dmitri
7
2011
On zero-dimensionality and the connected component of locally pseudocompact groups. Zbl 1227.22004
Dikranjan, D.; Lukács, Gábor
5
2011
Functorial topologies and finite-index subgroups of Abelian groups. Zbl 1237.54033
Dikranjan, Dikran; Giordano Bruno, Anna
5
2011
Productivity of sequences with respect to a given weight function. Zbl 1332.22001
Dikranjan, Dikran; Shakhmatov, Dmitri; Spěvák, Jan
5
2011
An elementary approach to Haar integration and Pontryagin duality in locally compact Abelian groups. Zbl 1226.22005
Dikranjan, Dikran; Stoyanov, Luchezar
2
2011
The Markov-Zariski topology of an abelian group. Zbl 1211.22002
Dikranjan, Dikran; Shakhmatov, Dmitri
19
2010
Adjoint algebraic entropy. Zbl 1201.20053
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi
17
2010
Locally minimal topological groups. I. Zbl 1225.22002
Außenhofer, Lydia; Chasco, M. J.; Dikranjan, Dikran; Domínguez, Xabier
13
2010
Quasi-convex density and determining subgroups of compact Abelian groups. Zbl 1178.22005
Dikranjan, Dikran; Shakhmatov, Dmitri
11
2010
Countably infinite quasi-convex sets in some locally compact abelian groups. Zbl 1195.22001
Dikranjan, Dikran; de Leo, Lorenzo
10
2010
Locally compact abelian groups admitting non-trivial quasi-convex null sequences. Zbl 1186.22008
Dikranjan, D.; Lukács, Gábor
8
2010
Relative minimality and co-minimality of subgroups in topological groups. Zbl 1190.22002
Dikranjan, Dikran; Megrelishvili, Michael
8
2010
Quasi-convex sequences in the circle and the 3-adic integers. Zbl 1225.22003
Dikranjan, D.; Lukács, Gábor
7
2010
Hewitt-Marczewski-Pondiczery type theorem for Abelian groups and Markov’s potential density. Zbl 1208.22001
Dikranjan, Dikran; Shakhmatov, Dmitri
6
2010
Strings of group endomorphisms. Zbl 1225.37010
Dikranjan, Dikran; Giordano Bruno, Anna; Virili, Simone
5
2010
Dualities in topological groups. Zbl 1205.22005
Dikranjan, Dikran; Ferrer, Maria Vicenta; Hernandez, Salvador
2
2010
Algebraic entropy for Abelian groups. Zbl 1176.20057
Dikranjan, Dikran; Goldsmith, Brendan; Salce, Luigi; Zanardo, Paolo
62
2009
Algebraic entropy of shift endomorphisms on abelian groups. Zbl 1194.37015
Akhavin, Maryam; Dikranjan, Dikran; Giordano Bruno, Anna; Hosseini, Arezoo; Shirazi, Fatemah Ayatollah Zadeh
11
2009
Arnautov’s problems on semitopological isomorphisms. Zbl 1213.22003
Dikranjan, D.; Giordano Bruno, A.
8
2009
Products of straight spaces. Zbl 1170.54011
Berarducci, Alessandro; Dikranjan, Dikran; Pelant, Jan
3
2009
Minimal pseudocompact group topologies on free abelian groups. Zbl 1179.22001
Dikranjan, Dikran; Giordano Bruno, Anna; Shakhmatov, Dmitri
1
2009
Topological torsion related to some recursive sequences of integers. Zbl 1144.11059
Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans
18
2008
Reflection principle characterizing groups in which unconditionally closed sets are algebraic. Zbl 1167.22001
Dikranjan, Dikran; Shakhmatov, Dmitri
11
2008
w-divisible groups. Zbl 1149.22004
Dikranjan, Dikran; Giordano Bruno, Anna
10
2008
Counting maximal topologies on countable groups and rings. Zbl 1171.54029
Dikranjan, D.; Protasov, Igor
9
2008
Pseudocompact totally dense subgroups. Zbl 1138.22003
Dikranjan, Dikran; Giordano Bruno, Anna
8
2008
Straightening theorem for bounded Abelian groups. Zbl 1160.22002
de Leo, Lorenzo; Dikranjan, Dikran
1
2008
Characterizing subgroups of compact Abelian groups. Zbl 1109.22002
Dikranjan, Dikran; Kunen, Kenneth
26
2007
...and 117 more Documents
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Cited by 428 Authors

141 Dikranjan, Dikran N.
44 Giordano Bruno, Anna
29 Tkachenko, Mikhail Gelievich
28 Shakhmatov, Dmitri B.
23 Protasov, Igor Volodymyrovych
19 Castellini, Gabriele
18 Salce, Luigi
17 Giuli, Eraldo
15 Gabriyelyan, Saak S.
14 Außenhofer, Lydia
14 Comfort, William Wistar
14 Tomita, Artur Hideyuki
13 Šlapal, Josef
13 Tholen, Walter
13 Virili, Simone
12 Chasco, María Jesús
12 Martin Peinador, Elena
11 Banakh, Taras Onufrievich
11 Gran, Marino
11 Zava, Nicolò
10 Domínguez, Xabier
10 Holgate, David B.
10 Toller, Daniele
9 Goldsmith, Brendan
9 Hernández, Salvador
9 Lukács, Gábor
9 Tarieladze, Vasha I.
8 Bardyla, Serhii
8 Colebunders, Eva
8 Dardano, Ulderico
8 Fay, Temple H.
8 Frič, Roman
8 Peng, Dekui
8 Zanardo, Paolo
7 Chekhlov, Andreĭ Rostislavovich
7 Clementino, Maria Manuel
7 Galindo, Jorge
7 Pelant, Jan
7 Weber, Hans Josef Karl
7 Xi, Wenfei
6 Berarducci, Alessandro
6 Das, Pratulananda
6 Kashu, Alekseĭ Ivanovich
6 Megrelishvili, Michael G.
6 Razafindrakoto, Ando
6 Shlossberg, Menachem
6 Spěvák, Jan
6 Tonolo, Alberto
6 van Mill, Jan
6 Walls, Gary Lee
5 Castellano, Ilaria
5 Ferrer, Maria Vicenta
5 Hosseini, Seyed Naser
5 Kula, Muammer
5 Lin, Fucai
5 Remus, Dieter
5 Rinauro, Silvana
5 Sanchis, Manuel
5 Stoyanov, Luchezar N.
5 Strecker, George E.
5 Weighill, Thomas
5 Xiao, Zhiqiang
5 Yañez, Víctor Hugo
5 Zanolin, Fabio
4 Ayatollah Zadeh Shirazi, Fatemah
4 Barbieri, Giuseppina Gerarda
4 Bellini, Matheus Koveroff
4 Biś, Andrzej
4 De La Barrera Mayoral, Daniel
4 García-Ferreira, Salvador
4 Impieri, Daniele
4 Janelidze, Zurab
4 Kunen, Kenneth
4 Milan, Chiara
4 Mousavi, Seyed Sh.
4 Protasova, Ksenia D.
4 Ravsky, Alex
4 Rodrigues, Vinicius De Oliveira
4 Trigos-Arrieta, F. Javier
4 Uspenskiĭ, Vladimir Vladimirovich
3 Baran, Mehmet
3 Boero, Ana Carolina
3 Bose, Kumardipta
3 De Mari, Fausto
3 Di Santo, Raffaele
3 Everaert, Tomas
3 Gerlo, A.
3 Gregorio, Enrico
3 Gutik, Oleg Volodymyrovych
3 Iragi, Minani
3 Koslowski, Jürgen
3 Künzi, Hans-Peter A.
3 Lowen, Robert
3 Özkan, Samed
3 Solovyov, Sergey A.
3 Watson, William Stephen
3 Yaschenko, Ivan V.
2 Abughalwa, Hassan
2 Adhikary, Nayan
2 Ahmadi, Seyyed Alireza
...and 328 more Authors
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Cited in 123 Serials

209 Topology and its Applications
34 Journal of Pure and Applied Algebra
34 Applied Categorical Structures
20 Communications in Algebra
19 Journal of Algebra
15 Proceedings of the American Mathematical Society
14 Acta Mathematica Hungarica
13 Cahiers de Topologie et Géométrie Différentielle Catégoriques
13 Quaestiones Mathematicae
12 Journal of Mathematical Analysis and Applications
12 Forum Mathematicum
10 Rendiconti del Seminario Matematico della Università di Padova
10 Topological Algebra and its Applications
9 Journal of Group Theory
9 Applied General Topology
7 Czechoslovak Mathematical Journal
7 Fuzzy Sets and Systems
7 Journal of Mathematical Sciences (New York)
7 Axioms
6 Advances in Mathematics
6 Algebra Universalis
6 Archiv der Mathematik
6 Transactions of the American Mathematical Society
6 Soft Computing
5 Mathematica Slovaca
5 Buletinul Academiei de Științe a Republicii Moldova. Matematica
5 Journal of Algebra and its Applications
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Categories and General Algebraic Structures with Applications
4 Mathematical Notes
4 Periodica Mathematica Hungarica
4 Rocky Mountain Journal of Mathematics
4 Mathematische Zeitschrift
4 Ricerche di Matematica
4 European Journal of Mathematics
3 Fundamenta Mathematicae
3 Mathematische Nachrichten
3 Semigroup Forum
3 Ergodic Theory and Dynamical Systems
3 Linear Algebra and its Applications
3 Turkish Journal of Mathematics
3 Filomat
3 Bulletin des Sciences Mathématiques
3 Theory and Applications of Categories
3 Matematychni Studiï
3 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
3 Carpathian Mathematical Publications
2 Bulletin of the Australian Mathematical Society
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Dissertationes Mathematicae
2 International Journal of Mathematics and Mathematical Sciences
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Bulletin of the Iranian Mathematical Society
2 International Journal of Algebra and Computation
2 Indagationes Mathematicae. New Series
2 Topology Proceedings
2 Taiwanese Journal of Mathematics
2 Revista Matemática Complutense
2 Annales Henri Poincaré
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
2 Algebra and Discrete Mathematics
2 Hacettepe Journal of Mathematics and Statistics
2 Revista Integración
2 Journal of Linear and Topological Algebra
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 International Journal of Theoretical Physics
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 Journal of Geometry and Physics
1 Collectanea Mathematica
1 Colloquium Mathematicum
1 Glasgow Mathematical Journal
1 Information Sciences
1 Journal of Number Theory
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Notre Dame Journal of Formal Logic
1 Proceedings of the London Mathematical Society. Third Series
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Siberian Mathematical Journal
1 Acta Applicandae Mathematicae
1 Order
1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika
1 Aequationes Mathematicae
1 Journal of Dynamics and Differential Equations
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal de Théorie des Nombres de Bordeaux
1 Discrete and Continuous Dynamical Systems
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Acta Mathematica Sinica. English Series
1 International Journal of Applied Mathematics and Computer Science
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Qualitative Theory of Dynamical Systems
1 Advances in Geometry
1 Algebraic & Geometric Topology
1 Journal of the Australian Mathematical Society
...and 23 more Serials
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Cited in 42 Fields

401 General topology (54-XX)
298 Topological groups, Lie groups (22-XX)
174 Category theory; homological algebra (18-XX)
148 Group theory and generalizations (20-XX)
69 Dynamical systems and ergodic theory (37-XX)
63 Order, lattices, ordered algebraic structures (06-XX)
57 Abstract harmonic analysis (43-XX)
42 Associative rings and algebras (16-XX)
32 Functional analysis (46-XX)
31 Number theory (11-XX)
29 Mathematical logic and foundations (03-XX)
20 Commutative algebra (13-XX)
18 Measure and integration (28-XX)
10 General algebraic systems (08-XX)
10 Geometry (51-XX)
7 Combinatorics (05-XX)
7 Computer science (68-XX)
6 Algebraic geometry (14-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Sequences, series, summability (40-XX)
6 Operator theory (47-XX)
6 Algebraic topology (55-XX)
5 Manifolds and cell complexes (57-XX)
4 Real functions (26-XX)
4 Quantum theory (81-XX)
3 History and biography (01-XX)
3 Field theory and polynomials (12-XX)
3 Approximations and expansions (41-XX)
3 Convex and discrete geometry (52-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 \(K\)-theory (19-XX)
2 Special functions (33-XX)
2 Biology and other natural sciences (92-XX)
1 Functions of a complex variable (30-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)

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