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Dikranjan, Dikran N.

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: 257 Publications since 1976, including 4 Books and 6 Additional arXiv Preprints
1 Contribution as Editor
Reviewing Activity: 41 Reviews
Biographic References: 1 Publication
Co-Authors: 95 Co-Authors with 215 Joint Publications
1,630 Co-Co-Authors
all top 5

Co-Authors

42 single-authored
39 Giordano Bruno, Anna
25 Shakhmatov, Dmitri B.
12 Toller, Daniele
10 Tkachenko, Mikhail Gelievich
9 Außenhofer, Lydia
9 Giuli, Eraldo
8 Milan, Chiara
8 Stoyanov, Luchezar N.
8 Zava, Nicolò
7 Berarducci, Alessandro
7 Martin Peinador, Elena
7 Pelant, Jan
7 Salce, Luigi
6 Barbieri, Giuseppina Gerarda
6 Impieri, Daniele
6 Tarieladze, Vasha I.
6 Weber, Hans Josef Karl
6 Xi, Wenfei
5 Lukács, Gábor
5 Orsatti, Adalberto
5 Virili, Simone
5 Watson, William Stephen
4 Comfort, William Wistar
4 Protasov, Igor Volodymyrovych
4 Tholen, Walter
4 Tonolo, Alberto
3 Biś, Andrzej
3 Chasco, María Jesús
3 Ciesielski, Krzysztof Chris
3 Di Santo, Raffaele
3 He, Wei
3 Künzi, Hans-Peter A.
3 Prodanov, Ivan R.
3 Rodinó, Nikola
3 Sanchis, Manuel
3 Spěvák, Jan
3 Uspenskiĭ, Vladimir Vladimirovich
3 Xiao, Zhiqiang
3 Zanardo, Paolo
2 Ayatollah Zadeh Shirazi, Fatemah
2 Bonatto, Marco
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 Peng, Dekui
2 Shlossberg, Menachem
2 Tkachuk, Vladimir Vladimirovich
2 Yaschenko, Ivan V.
1 Akhavin, Maryam
1 Akin, Hasan
1 Alcaraz, Domingo
1 Ballico, Edoardo
1 Bazigaran, Behnam
1 Berlai, Federico
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 Lewis, Wayne
1 Loth, Peter
1 Mader, Adolf
1 Marconi, Umberto
1 Miyazaki, Kazumi
1 Moresco, Roberto
1 Morris, Sidney A.
1 Nogura, Tsugunori
1 Policriti, Alberto
1 Protasova, Ksenia D.
1 Repovš, Dušan 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

62 Topology and its Applications
13 Journal of Pure and Applied Algebra
9 Communications in Algebra
8 Proceedings of the American Mathematical Society
7 Journal of Mathematical Analysis and Applications
7 Topology Proceedings
6 Journal of Algebra
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 Quaestiones Mathematicae
4 Forum Mathematicum
4 Doklady Bolgarskoĭ Akademii Nauk
4 Applied Categorical Structures
3 Advances in Mathematics
3 Fundamenta Mathematicae
3 Mathematische Nachrichten
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 Illinois Journal of Mathematics
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

227 Publications have been cited 2,357 times in 740 Documents Cited by Year
Categorical structure of closure operators. With applications to topology, algebra and discrete mathematics. Zbl 0853.18002
Dikranjan, D.; Tholen, W.
138
1995
Closure operators. I. Zbl 0634.54008
Dikranjan, Dikran; Giuli, Eraldo
108
1987
Topological groups. Characters, dualities, and minimal group topologies. Zbl 0687.22001
Dikranjan, Dikran N.; Stoyanov, Luchezar N.; Prodanov, Ivan R.
88
1990
Algebraic entropy for Abelian groups. Zbl 1176.20057
Dikranjan, Dikran; Goldsmith, Brendan; Salce, Luigi; Zanardo, Paolo
66
2009
Entropy on abelian groups. Zbl 1368.37015
Dikranjan, Dikran; Giordano Bruno, Anna
43
2016
Algebraic structure of pseudocompact groups. Zbl 0907.22005
Dikranjan, Dikran; Shakhmatov, Dmitri
42
1998
A characterization of the maximally almost periodic abelian groups. Zbl 1065.22003
Dikranjan, Dikran; Milan, Chiara; Tonolo, Alberto
37
2005
Answer to Raczkowski’s questions on convergent sequences of integers. Zbl 1022.22001
Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans
36
2003
New and old facts about entropy in uniform spaces and topological groups. Zbl 1242.54005
Dikranjan, Dikran; Sanchis, Manuel; Virili, Simone
35
2012
Totally minimal topological groups. Zbl 0443.22002
Dikranjan, Dikran; Prodanov, Ivan
31
1979
Topological entropy and algebraic entropy for group endomorphisms. Zbl 1300.54002
Dikranjan, Dikran; Giordano Bruno, Anna
31
2012
Categorically compact topological groups. Zbl 0887.22001
Dikranjan, Dikran N.; Uspenskij, V. V.
29
1998
The Markov-Zariski topology of an abelian group. Zbl 1211.22002
Dikranjan, Dikran; Shakhmatov, Dmitri
27
2010
Topologically torsion elements of topological groups. Zbl 1082.22001
Dikranjan, Dikran
27
2002
Characterizing subgroups of compact Abelian groups. Zbl 1109.22002
Dikranjan, Dikran; Kunen, Kenneth
27
2007
Fully inert subgroups of divisible Abelian groups. Zbl 1292.20062
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone
26
2013
Recent advances in minimal topological groups. Zbl 0983.54037
Dikranjan, Dikran
25
1998
Torsion theories and radicals in normal categories. Zbl 1121.18010
Clementino, M. M.; Dikranjan, D.; Tholen, W.
24
2006
Intrinsic algebraic entropy. Zbl 1355.20041
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone
24
2015
Forcing hereditarily separable compact-like group topologies on Abelian groups. Zbl 1068.22001
Dikranjan, Dikran; Shakhmatov, Dmitri
23
2005
Zero-dimensionality of some pseudocompact groups. Zbl 0846.54027
Dikranjan, Dikran
22
1994
The connection between topological and algebraic entropy. Zbl 1256.54061
Dikranjan, Dikran; Giordano Bruno, Anna
22
2012
Some categorical aspects of coarse spaces and balleans. Zbl 1377.54027
Dikranjan, Dikran; Zava, Nicolò
22
2017
Adjoint algebraic entropy. Zbl 1201.20053
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi
21
2010
The Bridge Theorem for totally disconnected LCA groups. Zbl 1322.37007
Dikranjan, Dikran; Giordano Bruno, Anna
21
2014
Topological torsion related to some recursive sequences of integers. Zbl 1144.11059
Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans
20
2008
Minimality conditions in topological groups. Zbl 1308.54002
Dikranjan, Dikran; Megrelishvili, Michael
20
2014
Factorizations, injectivity and compactness in categories of modules. Zbl 0726.16005
Dikranjan, Dikran; Giuli, Eraldo
19
1991
Algebraic structure of small countably compact Abelian groups. Zbl 1058.22001
Dikranjan, D.; Tkachenko, M.
19
2003
The Pinsker subgroup of an algebraic flow. Zbl 1247.37014
Dikranjan, Dikran; Giordano Bruno, Anna
19
2012
Fully inert subgroups of free Abelian groups. Zbl 1322.20046
Dikranjan, D.; Salce, L.; Zanardo, P.
19
2014
Answer to Armacost’s quest on topologically torsion elements of the circle group. Zbl 1050.22007
Dikranjan, Dikran; Di Santo, Raffaele
18
2004
Group valued null sequences and metrizable non-Mackey groups. Zbl 1307.22002
Dikranjan, Dikran; Martín-Peinador, Elena; Tarieladze, Vaja
18
2014
Closure operators induced by topological epireflections. Zbl 0601.54016
Dikranjan, D.; Giuli, E.
17
1985
Epimorphisms and cowellpoweredness of epireflective subcategories of TOP. Zbl 0588.54017
Dikranjan, D.; Giuli, E.
17
1984
Characterizing sequences for precompact group topologies. Zbl 1308.54023
Dikranjan, D.; Gabriyelyan, S. S.; Tarieladze, V.
17
2014
Closure operators in topological groups related to von Neumann’s kernel. Zbl 1104.18001
Dikranjan, Dikran
16
2006
Discrete dynamical systems in group theory. Zbl 1280.37023
Dikranjan, Dikran; Giordano Bruno, Anna
16
2013
Compact-like totally dense subgroups of compact groups. Zbl 0781.54018
Dikranjan, Dikran N.; Shakhmatov, Dmitrij B.
15
1992
Locally minimal topological groups. I. Zbl 1225.22002
Außenhofer, Lydia; Chasco, M. J.; Dikranjan, Dikran; Domínguez, Xabier
15
2010
Topologically torsion elements of the circle group. Zbl 1291.22008
Dikranjan, Dikran; Impieri, Daniele
15
2014
Algebraic entropy for amenable semigroup actions. Zbl 1453.20074
Dikranjan, Dikran; Fornasiero, Antongiulio; Giordano Bruno, Anna
15
2020
Countably compact groups satisfying the open mapping theorem. Zbl 0970.54034
Dikranjan, Dikran
14
1999
Sequential completeness of quotient groups. Zbl 0943.22001
Dikranjan, Dikran; Tkačenko, Michael
14
2000
A complete solution of Markov’s problem on connected group topologies. Zbl 1331.22003
Dikranjan, Dikran; Shakhmatov, Dmitri
14
2016
Topological categories and closure operators. Zbl 0657.18003
Dikranjan, D.; Giuli, E.; Toi, A.
14
1988
S(n)-\(\theta\)-closed spaces. Zbl 0658.54015
Dikranjan, D.; Giuli, E.
14
1988
Locally minimal topological groups. II. Zbl 1216.22002
Außenhofer, Lydia; Chasco, María Jesús; Dikranjan, Dikran; Domínguez, Xabier
14
2011
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
Reflection principle characterizing groups in which unconditionally closed sets are algebraic. Zbl 1167.22001
Dikranjan, Dikran; Shakhmatov, Dmitri
13
2008
Characterized subgroups of the circle group. Zbl 1405.54017
Di Santo, Raffaele; Dikranjan, Dikran; Giordano Bruno, Anna
13
2018
On characterized subgroups of compact abelian groups. Zbl 1280.22003
Dikranjan, D.; Gabriyelyan, S. S.
13
2013
Dual closure operators and their applications. Zbl 1320.18002
Dikranjan, Dikran; Tholen, Walter
12
2015
A solution to van Douwen’s problem on Bohr topologies. Zbl 0983.22001
Dikranjan, Dikran; Watson, Stephen
12
2001
w-divisible groups. Zbl 1149.22004
Dikranjan, Dikran; Giordano Bruno, Anna
12
2008
Convergent sequences in precompact group topologies. Zbl 1092.22001
Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans
12
2005
Quasi-convex density and determining subgroups of compact Abelian groups. Zbl 1178.22005
Dikranjan, Dikran; Shakhmatov, Dmitri
12
2010
A survey on reflexivity of abelian topological groups. Zbl 1247.22001
Chasco, M. J.; Dikranjan, D.; Martín-Peinador, E.
12
2012
Topological groups with thin generating sets. Zbl 0964.22002
Dikranjan, D.; Tkačenko, M.; Tkachuk, V.
11
2000
Bowen’s entropy for endomorphisms of totally bounded abelian groups. Zbl 1317.22001
Alcaraz, Domingo; Dikranjan, Dikran; Sanchis, Manuel
11
2014
Subgroups of products of locally compact groups. Zbl 1082.22002
Dikranjan, Dikran; Morris, Sidney A.
11
2002
On transversal group topologies. Zbl 1114.22001
Dikranjan, Dikran; Tkachenko, Mikhail; Yaschenko, Ivan
11
2005
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
On the poset of precompact group topologies. Zbl 0890.54040
Dikranjan, D.
11
1995
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
Limit free computation of entropy. Zbl 1277.37031
Dikranjan, Dikran; Giordano Bruno, Anna
11
2012
Entropy on normed semigroups (towards a unifying approach to entropy). Zbl 1429.16002
Dikranjan, Dikran; Bruno, Anna Giordano
11
2019
Endomorphisms of abelian groups with small algebraic entropy. Zbl 1320.37013
Dikranjan, D.; Gong, K.; Zanardo, P.
11
2013
Locally quasi-convex compatible topologies on a topological group. Zbl 1371.22001
Außenhofer, Lydia; Dikranjan, Dikran; Martín-Peinador, Elena
11
2015
Inertial properties in groups. Zbl 1442.20023
Dardano, Ulderico; Dikranjan, Dikran; Rinauro, Silvana
11
2018
Pseudocompact and countably compact Abelian groups: Cartesian products and minimality. Zbl 0786.54008
Dikranjan, Dikran N.; Shakhmatov, Dmitrii B.
10
1993
Countably infinite quasi-convex sets in some locally compact abelian groups. Zbl 1195.22001
Dikranjan, Dikran; de Leo, Lorenzo
10
2010
Weakly metrizable pseudocompact groups. Zbl 1127.22003
Dikranjan, Dikran; Giordano Bruno, Anna; Milan, Chiara
10
2006
On characterization of linear compactness. Zbl 1006.18007
Dikranjan, Dikran; Tonolo, Alberto
10
1995
On convergence groups with dense coarse subgroups. Zbl 0637.22002
Dikranjan, Dikran; Frič, Roman; Zanolin, Fabio
10
1987
Relative minimality and co-minimality of subgroups in topological groups. Zbl 1190.22002
Dikranjan, Dikran; Megrelishvili, Michael
10
2010
Balleans, hyperballeans and ideals. Zbl 1429.54035
Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò
10
2019
“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
Statistically characterized subgroups of the circle. Zbl 1453.22003
Dikranjan, Dikran; Das, Pratulananda; Bose, Kumardipta
10
2020
Counting maximal topologies on countable groups and rings. Zbl 1171.54029
Dikranjan, D.; Protasov, Igor
9
2008
Topological groups with many small subgroups. Zbl 1383.18003
Dikranjan, Dikran; Shakhmatov, Dmitri
9
2016
Separation and epimorphisms in quasi-uniform spaces. Zbl 0964.54021
Dikranjan, Dikran; Künzi, Hans-Peter
9
2000
Weakly complete free topological groups. Zbl 0979.54038
Dikranjan, Dikran; Tkačenko, Michael
9
2001
Set-theoretical entropy: a tool to compute topological entropy. Zbl 1301.54037
Shirazi, Fatemah Ayatollah Zadeh; Dikranjan, Dikran
9
2012
Characterized subgroups of topological abelian groups. Zbl 1371.22002
Dikranjan, Dikran; Giordano Bruno, Anna; Impieri, Daniele
9
2015
Semiregular closure operators and epimorphisms in topological categories. Zbl 0782.54009
Dikranjan, Dikran N.
8
1992
Some topological groups with and some without suitable sets. Zbl 0983.54038
Dikranjan, D.; Tkačenko, M.; Tkachuk, V.
8
1999
Sequentially complete groups: Dimension and minimality. Zbl 0976.22002
Dikranjan, Dikran; Tkačenko, Michael
8
2001
Hewitt-Marczewski-Pondiczery type theorem for Abelian groups and Markov’s potential density. Zbl 1208.22001
Dikranjan, Dikran; Shakhmatov, Dmitri
8
2010
A Kronecker-Weyl theorem for subsets of Abelian groups. Zbl 1266.20063
Dikranjan, Dikran; Shakhmatov, Dmitri
8
2011
Arnautov’s problems on semitopological isomorphisms. Zbl 1213.22003
Dikranjan, D.; Giordano Bruno, A.
8
2009
Locally compact abelian groups admitting non-trivial quasi-convex null sequences. Zbl 1186.22008
Dikranjan, D.; Lukács, Gábor
8
2010
Connectedness and disconnectedness in pseudocompact groups. Zbl 0834.22005
Dikranjan, Dikran
8
1992
The lattice of compact representations of an infinite group. Zbl 0848.22002
Dikranjan, Dikran
8
1995
Pseudocompact totally dense subgroups. Zbl 1138.22003
Dikranjan, Dikran; Giordano Bruno, Anna
8
2008
A characterization of the circle group via uniqueness of roots. Zbl 1254.22004
Dikranjan, Dikran; Di Santo, Raffaele
7
2011
On the Borel complexity of characterized subgroups. Zbl 1348.22006
Dikranjan, Dikran; Impieri, Daniele
7
2016
Quasi-convex sequences in the circle and the 3-adic integers. Zbl 1225.22003
Dikranjan, D.; Lukács, Gábor
7
2010
The addition theorem for locally monotileable monoid actions. Zbl 1511.20229
Dikranjan, Dikran; Fornasiero, Antongiulio; Giordano Bruno, Anna; Salizzoni, Flavio
2
2023
Generalized quasi-metric semilattices. Zbl 1490.06003
Dikranjan, Dikran; Giordano Bruno, Anna; Künzi, Hans-Peter; Zava, Nicolò; Toller, Daniele
3
2022
Topological groups and the Pontryagin-van Kampen duality. An introduction. Zbl 1492.22001
Außenhofer, Lydia; Dikranjan, Dikran; Giordano Bruno, Anna
3
2022
Intrinsic entropy for generalized quasimetric semilattices. Zbl 1514.37032
Castellano, Ilaria; Dikranjan, Dikran; Freni, Domenico; Bruno, Anna Giordano; Toller, Daniele
2
2022
Topological entropy, upper Carathéodory capacity and fractal dimensions of semigroup actions. Zbl 1490.37020
Biś, Andrzej; Dikranjan, Dikran; Bruno, Anna Giordano; Stoyanov, Luchezar
5
2021
Metric versus topological receptive entropy of semigroup actions. Zbl 1475.37023
Biś, Andrzej; Dikranjan, Dikran; Giordano Bruno, Anna; Stoyanov, Luchezar
5
2021
Mackey groups and Mackey topologies. Zbl 1518.22001
Außenhofer, Lydia; Dikranjan, Dikran
2
2021
Algebraic entropy for amenable semigroup actions. Zbl 1453.20074
Dikranjan, Dikran; Fornasiero, Antongiulio; Giordano Bruno, Anna
15
2020
Statistically characterized subgroups of the circle. Zbl 1453.22003
Dikranjan, Dikran; Das, Pratulananda; Bose, Kumardipta
10
2020
On uniformly fully inert subgroups of abelian groups. Zbl 1445.20046
Dardano, Ulderico; Dikranjan, Dikran; Salce, Luigi
7
2020
Locally quasi-convex compatible topologies on locally compact abelian groups. Zbl 1442.22005
Außenhofer, Lydia; Dikranjan, Dikran
4
2020
Categories of coarse groups: quasi-homomorphisms and functorial coarse structures. Zbl 1442.18025
Dikranjan, Dikran; Zava, Nicolò
3
2020
Algebraic entropies of commuting endomorphisms of torsion abelian groups. Zbl 1496.20086
Biś, Andrzej; Dikranjan, Dikran; Bruno, Anna Giordano; Stoyanov, Luchezar
2
2020
The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups. Zbl 1439.22010
Dikranjan, Dikran; Zava, Nicolò
1
2020
Entropy on normed semigroups (towards a unifying approach to entropy). Zbl 1429.16002
Dikranjan, Dikran; Bruno, Anna Giordano
11
2019
Balleans, hyperballeans and ideals. Zbl 1429.54035
Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò
10
2019
Hyperballeans of groups. Zbl 1425.54011
Dikranjan, D.; Protasov, I.; Zava, N.
7
2019
Hereditarily minimal topological groups. Zbl 1458.22002
Xi, Wenfei; Dikranjan, Dikran; Shlossberg, Menachem; Toller, Daniele
6
2019
Densely locally minimal groups. Zbl 1422.22005
Xi, W.; Dikranjan, D.; Shlossberg, M.; Toller, D.
4
2019
Locally compact groups and locally minimal group topologies. Zbl 1415.22004
Xi, Wenfei; Dikranjan, Dikran; He, Wei; Xiao, Zhiqiang
4
2019
Dimension and entropy in compact topological groups. Zbl 1459.22001
Dikranjan, Dikran; Sanchis, Manuel
4
2019
Quotients of locally minimal groups. Zbl 1414.22007
Peng, Dekui; Dikranjan, Dikran; He, Wei; Xiao, Zhiqiang; Xi, Wenfei
3
2019
Generalized Heisenberg groups and self-duality. Zbl 1504.22007
Bonatto, Marco; Dikranjan, Dikran
1
2019
The gentle, generous giant tampering with dense subgroups of topological groups. Zbl 1414.22004
Dikranjan, Dikran
1
2019
The \(G_{\delta}\)-density nucleus of a compact abelian group. Zbl 1414.22003
Comfort, William Wistar; Dikranjan, Dikran
1
2019
Characterized subgroups of the circle group. Zbl 1405.54017
Di Santo, Raffaele; Dikranjan, Dikran; Giordano Bruno, Anna
13
2018
Inertial properties in groups. Zbl 1442.20023
Dardano, Ulderico; Dikranjan, Dikran; Rinauro, Silvana
11
2018
Zariski topology and Markov topology on groups. Zbl 1478.22002
Dikranjan, Dikran; Toller, Daniele
3
2018
Cowellpoweredness of some categories of quasi-uniform spaces. Zbl 1408.18002
Dikranjan, Dikran; Künzi, Hans-Peter A.
2
2018
Characterizing Lie groups by controlling their zero-dimensional subgroups. Zbl 1393.22006
Dikranjan, Dikran; Shakhmatov, Dmitri
2
2018
Atomic topological groups. Zbl 1436.22001
Dikranjan, Dikran; Khass, Hossein; Bazigaran, Behnam
1
2018
Some categorical aspects of coarse spaces and balleans. Zbl 1377.54027
Dikranjan, Dikran; Zava, Nicolò
22
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.
6
2017
Preservation and reflection of size properties of balleans. Zbl 1423.54053
Dikranjan, Dikran; Zava, Nicolò
6
2017
Dirichlet sets vs characterized subgroups. Zbl 1393.54018
Barbieri, Giuseppina; Dikranjan, Dikran; Giordano Bruno, Anna; Weber, Hans
5
2017
Entropy on abelian groups. Zbl 1368.37015
Dikranjan, Dikran; Giordano Bruno, Anna
43
2016
A complete solution of Markov’s problem on connected group topologies. Zbl 1331.22003
Dikranjan, Dikran; Shakhmatov, Dmitri
14
2016
Topological groups with many small subgroups. Zbl 1383.18003
Dikranjan, Dikran; Shakhmatov, Dmitri
9
2016
On the Borel complexity of characterized subgroups. Zbl 1348.22006
Dikranjan, Dikran; Impieri, Daniele
7
2016
Direct sums and products in topological groups and vector spaces. Zbl 1335.22004
Dikranjan, Dikran; Shakhmatov, Dmitri; Spěvák, Jan
6
2016
Intrinsic algebraic entropy. Zbl 1355.20041
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone
24
2015
Dual closure operators and their applications. Zbl 1320.18002
Dikranjan, Dikran; Tholen, Walter
12
2015
Locally quasi-convex compatible topologies on a topological group. Zbl 1371.22001
Außenhofer, Lydia; Dikranjan, Dikran; Martín-Peinador, Elena
11
2015
Characterized subgroups of topological abelian groups. Zbl 1371.22002
Dikranjan, Dikran; Giordano Bruno, Anna; Impieri, Daniele
9
2015
A factorization theorem for topological abelian groups. Zbl 1334.22001
Dikranjan, Dikran; Giordano Bruno, Anna
5
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
The Bridge Theorem for totally disconnected LCA groups. Zbl 1322.37007
Dikranjan, Dikran; Giordano Bruno, Anna
21
2014
Minimality conditions in topological groups. Zbl 1308.54002
Dikranjan, Dikran; Megrelishvili, Michael
20
2014
Fully inert subgroups of free Abelian groups. Zbl 1322.20046
Dikranjan, D.; Salce, L.; Zanardo, P.
19
2014
Group valued null sequences and metrizable non-Mackey groups. Zbl 1307.22002
Dikranjan, Dikran; Martín-Peinador, Elena; Tarieladze, Vaja
18
2014
Characterizing sequences for precompact group topologies. Zbl 1308.54023
Dikranjan, D.; Gabriyelyan, S. S.; Tarieladze, V.
17
2014
Topologically torsion elements of the circle group. Zbl 1291.22008
Dikranjan, Dikran; Impieri, Daniele
15
2014
Bowen’s entropy for endomorphisms of totally bounded abelian groups. Zbl 1317.22001
Alcaraz, Domingo; Dikranjan, Dikran; Sanchis, Manuel
11
2014
The density nucleus of a topological group. Zbl 1285.22002
Comfort, W. W.; Dikranjan, Dikran
7
2014
Compact-like abelian groups without non-trivial quasi-convex null sequences. Zbl 1280.22002
Dikranjan, D.; Lukács, Gábor
5
2014
Questions on the Borel complexity of characterized subgroups. Zbl 1362.22006
Dikranjan, Dikran; Impieri, Daniele
5
2014
Fully inert subgroups of divisible Abelian groups. Zbl 1292.20062
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone
26
2013
Discrete dynamical systems in group theory. Zbl 1280.37023
Dikranjan, Dikran; Giordano Bruno, Anna
16
2013
On characterized subgroups of compact abelian groups. Zbl 1280.22003
Dikranjan, D.; Gabriyelyan, S. S.
13
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
Productivity of the Zariski topology on groups. Zbl 1274.20038
Dikranjan, Dikran; Toller, Daniele
3
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
New and old facts about entropy in uniform spaces and topological groups. Zbl 1242.54005
Dikranjan, Dikran; Sanchis, Manuel; Virili, Simone
35
2012
Topological entropy and algebraic entropy for group endomorphisms. Zbl 1300.54002
Dikranjan, Dikran; Giordano Bruno, Anna
31
2012
The connection between topological and algebraic entropy. Zbl 1256.54061
Dikranjan, Dikran; Giordano Bruno, Anna
22
2012
The Pinsker subgroup of an algebraic flow. Zbl 1247.37014
Dikranjan, Dikran; Giordano Bruno, Anna
19
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
9
2012
The Markov and Zariski topologies of some linear groups. Zbl 1277.22002
Dikranjan, D.; Toller, D.
6
2012
Markov’s problems through the looking glass of Zariski and Markov topologies. Zbl 1295.22002
Dikranjan, D.; Toller, D.
6
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
14
2011
A Kronecker-Weyl theorem for subsets of Abelian groups. Zbl 1266.20063
Dikranjan, Dikran; Shakhmatov, Dmitri
8
2011
A characterization of the circle group via uniqueness of roots. Zbl 1254.22004
Dikranjan, Dikran; Di Santo, Raffaele
7
2011
On zero-dimensionality and the connected component of locally pseudocompact groups. Zbl 1227.22004
Dikranjan, D.; Lukács, Gábor
5
2011
Productivity of sequences with respect to a given weight function. Zbl 1332.22001
Dikranjan, Dikran; Shakhmatov, Dmitri; Spěvák, Jan
5
2011
Functorial topologies and finite-index subgroups of Abelian groups. Zbl 1237.54033
Dikranjan, Dikran; Giordano Bruno, Anna
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
Ken and the Bohr topology. Zbl 1235.22005
Dikranjan, D.
1
2011
The Markov-Zariski topology of an abelian group. Zbl 1211.22002
Dikranjan, Dikran; Shakhmatov, Dmitri
27
2010
Adjoint algebraic entropy. Zbl 1201.20053
Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi
21
2010
Locally minimal topological groups. I. Zbl 1225.22002
Außenhofer, Lydia; Chasco, M. J.; Dikranjan, Dikran; Domínguez, Xabier
15
2010
Quasi-convex density and determining subgroups of compact Abelian groups. Zbl 1178.22005
Dikranjan, Dikran; Shakhmatov, Dmitri
12
2010
Countably infinite quasi-convex sets in some locally compact abelian groups. Zbl 1195.22001
Dikranjan, Dikran; de Leo, Lorenzo
10
2010
Relative minimality and co-minimality of subgroups in topological groups. Zbl 1190.22002
Dikranjan, Dikran; Megrelishvili, Michael
10
2010
Hewitt-Marczewski-Pondiczery type theorem for Abelian groups and Markov’s potential density. Zbl 1208.22001
Dikranjan, Dikran; Shakhmatov, Dmitri
8
2010
Locally compact abelian groups admitting non-trivial quasi-convex null sequences. Zbl 1186.22008
Dikranjan, D.; Lukács, Gábor
8
2010
Quasi-convex sequences in the circle and the 3-adic integers. Zbl 1225.22003
Dikranjan, D.; Lukács, Gábor
7
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
66
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
...and 127 more Documents
all top 5

Cited by 479 Authors

148 Dikranjan, Dikran N.
48 Giordano Bruno, Anna
30 Shakhmatov, Dmitri B.
29 Tkachenko, Mikhail Gelievich
25 Protasov, Igor Volodymyrovych
19 Castellini, Gabriele
19 Salce, Luigi
17 Giuli, Eraldo
16 Gabriyelyan, Saak S.
15 Außenhofer, Lydia
15 Tomita, Artur Hideyuki
14 Comfort, William Wistar
14 Martin Peinador, Elena
14 Šlapal, Josef
14 Tholen, Walter
14 Virili, Simone
14 Zava, Nicolò
13 Banakh, Taras Onufrievich
13 Gran, Marino
12 Chasco, María Jesús
12 He, Wei
12 Holgate, David B.
11 Domínguez, Xabier
11 Toller, Daniele
10 Bardyla, Serhii
10 Hernández, Salvador
9 Goldsmith, Brendan
9 Lukács, Gábor
9 Peng, Dekui
9 Tarieladze, Vasha I.
8 Chekhlov, Andreĭ Rostislavovich
8 Colebunders, Eva
8 Dardano, Ulderico
8 Fay, Temple H.
8 Frič, Roman
8 Megrelishvili, Michael G.
8 Shlossberg, Menachem
8 Weber, Hans Josef Karl
8 Zanardo, Paolo
7 Castellano, Ilaria
7 Clementino, Maria Manuel
7 Das, Pratulananda
7 Ferrer, Maria Vicenta
7 Galindo, Jorge
7 Pelant, Jan
7 Xi, Wenfei
7 Yañez, Víctor Hugo
6 Berarducci, Alessandro
6 Iragi, Minani
6 Kashu, Alekseĭ Ivanovich
6 Kula, Muammer
6 Lin, Fucai
6 Razafindrakoto, Ando
6 Remus, Dieter
6 Spěvák, Jan
6 Tonolo, Alberto
6 van Mill, Jan
6 Walls, Gary Lee
5 Ayatollah Zadeh Shirazi, Fatemah
5 Barbieri, Giuseppina Gerarda
5 Hosseini, Seyed Naser
5 Rinauro, Silvana
5 Sanchis, Manuel
5 Stoyanov, Luchezar N.
5 Strecker, George E.
5 Trigos-Arrieta, F. Javier
5 Uspenskiĭ, Vladimir Vladimirovich
5 Weighill, Thomas
5 Xiao, Zhiqiang
5 Zanolin, Fabio
4 Bellini, Matheus Koveroff
4 Biś, Andrzej
4 De La Barrera Mayoral, Daniel
4 García-Ferreira, Salvador
4 Ghosh, Ayan
4 Impieri, Daniele
4 Janelidze, Zurab
4 Kunen, Kenneth
4 Milan, Chiara
4 Mousavi, Seyed Sh.
4 Özkan, Samed
4 Protasova, Ksenia D.
4 Ravsky, Alex
4 Rodrigues, Vinicius De Oliveira
3 Baran, Mehmet
3 Boero, Ana Carolina
3 Borceux, Francis
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 Halbeisen, Lorenz J.
3 Hungerbuhler, Norbert
3 Koslowski, Jürgen
3 Künzi, Hans-Peter A.
3 Lowen, Robert
3 Mahmoudi, Mojgan
...and 379 more Authors
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Cited in 134 Serials

223 Topology and its Applications
39 Journal of Pure and Applied Algebra
34 Applied Categorical Structures
21 Communications in Algebra
20 Journal of Algebra
16 Proceedings of the American Mathematical Society
16 Quaestiones Mathematicae
14 Journal of Mathematical Analysis and Applications
14 Acta Mathematica Hungarica
14 Forum Mathematicum
13 Cahiers de Topologie et Géométrie Différentielle Catégoriques
11 Journal of Group Theory
10 Rendiconti del Seminario Matematico della Università di Padova
10 Topological Algebra and its Applications
9 Applied General Topology
8 Axioms
7 Advances in Mathematics
7 Czechoslovak Mathematical Journal
7 Fuzzy Sets and Systems
7 Transactions of the American Mathematical Society
7 Journal of Mathematical Sciences (New York)
7 Journal of Algebra and its Applications
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Algebra Universalis
6 Archiv der Mathematik
6 Soft Computing
5 Mathematische Nachrichten
5 Mathematica Slovaca
5 Buletinul Academiei de Științe a Republicii Moldova. Matematica
5 Categories and General Algebraic Structures with Applications
4 Mathematical Notes
4 Periodica Mathematica Hungarica
4 Rocky Mountain Journal of Mathematics
4 Fundamenta Mathematicae
4 Mathematische Zeitschrift
4 Ricerche di Matematica
4 Theory and Applications of Categories
4 European Journal of Mathematics
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
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 Matematychni Studiï
3 Algebra and Discrete Mathematics
3 Hacettepe Journal of Mathematics and Statistics
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 Bulletin of the Iranian Mathematical Society
2 International Journal of Algebra and Computation
2 Aequationes Mathematicae
2 Journal of Dynamics and Differential Equations
2 Indagationes Mathematicae. New Series
2 Taiwanese Journal of Mathematics
2 Revista Matemática Complutense
2 Annales Henri Poincaré
2 Advances in Geometry
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
2 Journal of Commutative Algebra
2 Revista Integración
2 Journal of Linear and Topological Algebra
2 Journal of Algebraic Systems
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 International Journal of Theoretical Physics
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 Linear and Multilinear Algebra
1 Journal of Geometry and Physics
1 Collectanea Mathematica
1 Colloquium Mathematicum
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Information Sciences
1 Journal of Differential Equations
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 Theoretical Computer Science
1 Acta Applicandae Mathematicae
1 Annals of Pure and Applied Logic
1 Order
1 Mathematica Bohemica
1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Russian Mathematics
1 Topology Proceedings
1 Journal de Théorie des Nombres de Bordeaux
...and 34 more Serials
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Cited in 42 Fields

436 General topology (54-XX)
320 Topological groups, Lie groups (22-XX)
187 Category theory; homological algebra (18-XX)
166 Group theory and generalizations (20-XX)
81 Dynamical systems and ergodic theory (37-XX)
69 Order, lattices, ordered algebraic structures (06-XX)
61 Abstract harmonic analysis (43-XX)
43 Associative rings and algebras (16-XX)
37 Number theory (11-XX)
34 Functional analysis (46-XX)
31 Mathematical logic and foundations (03-XX)
21 Measure and integration (28-XX)
20 Commutative algebra (13-XX)
12 General algebraic systems (08-XX)
10 Geometry (51-XX)
9 Computer science (68-XX)
8 Combinatorics (05-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Sequences, series, summability (40-XX)
7 Algebraic topology (55-XX)
7 Manifolds and cell complexes (57-XX)
6 Algebraic geometry (14-XX)
6 Operator theory (47-XX)
5 Real functions (26-XX)
5 Convex and discrete geometry (52-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 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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