Edit Profile (opens in new tab) Dikranjan, Dikran N. Compute Distance To: Compute Author ID: dikranjan.dikran-n Published as: Dikranjan, Dikran; Dikranjan, D.; Dikranjan, Dikran N.; Dikranyan, Dikran; Dikranjan, D. N.; Dikranyan, Dikran N.; Dikranyan, D. N. more...less Homepage: https://users.dimi.uniud.it/~dikran.dikranjan/ External Links: MGP · ORCID Documents Indexed: 246 Publications since 1976, including 4 Books 1 Contribution as Editor Reviewing Activity: 41 Reviews Biographic References: 1 Publication Co-Authors: 90 Co-Authors with 205 Joint Publications 1,377 Co-Co-Authors all top 5 Co-Authors 42 single-authored 36 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 Barbieri, Giuseppina Gerarda 6 Impieri, Daniele 6 Martin Peinador, Elena 6 Weber, Hans Josef Karl 6 Xi, Wenfei 5 Lukács, Gábor 5 Orsatti, Adalberto 5 Tarieladze, Vasha I. 5 Watson, William Stephen 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 He, Wei 3 Künzi, Hans-Peter A. 3 Prodanov, Ivan R. 3 Rodinó, Nikola 3 Sanchis, Manuel 3 Uspenskiĭ, Vladimir Vladimirovich 3 Xiao, Zhiqiang 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 Peng, Dekui 2 Shlossberg, Menachem 2 Spěvák, Jan 2 Tkachuk, Vladimir Vladimirovich 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 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 60 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 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 all top 5 Fields 172 Topological groups, Lie groups (22-XX) 168 General topology (54-XX) 70 Group theory and generalizations (20-XX) 32 Category theory; homological algebra (18-XX) 29 Dynamical systems and ergodic theory (37-XX) 23 Associative rings and algebras (16-XX) 21 Abstract harmonic analysis (43-XX) 16 Number theory (11-XX) 10 Commutative algebra (13-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Measure and integration (28-XX) 6 Mathematical logic and foundations (03-XX) 4 Combinatorics (05-XX) 4 Functional analysis (46-XX) 3 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 220 Publications have been cited 2,193 times in 700 Documents Cited by ▼ Year ▼ Categorical structure of closure operators. With applications to topology, algebra and discrete mathematics. Zbl 0853.18002Dikranjan, D.; Tholen, W. 134 1995 Closure operators. I. Zbl 0634.54008Dikranjan, Dikran; Giuli, Eraldo 105 1987 Topological groups. Characters, dualities, and minimal group topologies. Zbl 0687.22001Dikranjan, Dikran N.; Stoyanov, Luchezar N.; Prodanov, Ivan R. 78 1990 Algebraic entropy for Abelian groups. Zbl 1176.20057Dikranjan, Dikran; Goldsmith, Brendan; Salce, Luigi; Zanardo, Paolo 63 2009 Algebraic structure of pseudocompact groups. Zbl 0907.22005Dikranjan, Dikran; Shakhmatov, Dmitri 41 1998 Entropy on abelian groups. Zbl 1368.37015Dikranjan, Dikran; Giordano Bruno, Anna 39 2016 A characterization of the maximally almost periodic abelian groups. Zbl 1065.22003Dikranjan, Dikran; Milan, Chiara; Tonolo, Alberto 37 2005 Answer to Raczkowski’s questions on convergent sequences of integers. Zbl 1022.22001Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans 35 2003 Totally minimal topological groups. Zbl 0443.22002Dikranjan, Dikran; Prodanov, Ivan 31 1979 New and old facts about entropy in uniform spaces and topological groups. Zbl 1242.54005Dikranjan, Dikran; Sanchis, Manuel; Virili, Simone 30 2012 Topological entropy and algebraic entropy for group endomorphisms. Zbl 1300.54002Dikranjan, Dikran; Giordano Bruno, Anna 28 2012 Categorically compact topological groups. Zbl 0887.22001Dikranjan, Dikran N.; Uspenskij, V. V. 28 1998 Characterizing subgroups of compact Abelian groups. Zbl 1109.22002Dikranjan, Dikran; Kunen, Kenneth 27 2007 Fully inert subgroups of divisible Abelian groups. Zbl 1292.20062Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone 25 2013 Topologically torsion elements of topological groups. Zbl 1082.22001Dikranjan, Dikran 24 2002 Recent advances in minimal topological groups. Zbl 0983.54037Dikranjan, Dikran 24 1998 Intrinsic algebraic entropy. Zbl 1355.20041Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone 23 2015 The Markov-Zariski topology of an abelian group. Zbl 1211.22002Dikranjan, Dikran; Shakhmatov, Dmitri 23 2010 Forcing hereditarily separable compact-like group topologies on Abelian groups. Zbl 1068.22001Dikranjan, Dikran; Shakhmatov, Dmitri 23 2005 Torsion theories and radicals in normal categories. Zbl 1121.18010Clementino, M. M.; Dikranjan, D.; Tholen, W. 22 2006 Zero-dimensionality of some pseudocompact groups. Zbl 0846.54027Dikranjan, Dikran 22 1994 The connection between topological and algebraic entropy. Zbl 1256.54061Dikranjan, Dikran; Giordano Bruno, Anna 20 2012 Adjoint algebraic entropy. Zbl 1201.20053Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi 20 2010 Algebraic structure of small countably compact Abelian groups. Zbl 1058.22001Dikranjan, D.; Tkachenko, M. 19 2003 Minimality conditions in topological groups. Zbl 1308.54002Dikranjan, Dikran; Megrelishvili, Michael 19 2014 Some categorical aspects of coarse spaces and balleans. Zbl 1377.54027Dikranjan, Dikran; Zava, Nicolò 19 2017 Fully inert subgroups of free Abelian groups. Zbl 1322.20046Dikranjan, D.; Salce, L.; Zanardo, P. 19 2014 Topological torsion related to some recursive sequences of integers. Zbl 1144.11059Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans 19 2008 The Pinsker subgroup of an algebraic flow. Zbl 1247.37014Dikranjan, Dikran; Giordano Bruno, Anna 18 2012 The Bridge Theorem for totally disconnected LCA groups. Zbl 1322.37007Dikranjan, Dikran; Giordano Bruno, Anna 18 2014 Factorizations, injectivity and compactness in categories of modules. Zbl 0726.16005Dikranjan, Dikran; Giuli, Eraldo 18 1991 Group valued null sequences and metrizable non-Mackey groups. Zbl 1307.22002Dikranjan, Dikran; Martín-Peinador, Elena; Tarieladze, Vaja 17 2014 Answer to Armacost’s quest on topologically torsion elements of the circle group. Zbl 1050.22007Dikranjan, Dikran; Di Santo, Raffaele 17 2004 Epimorphisms and cowellpoweredness of epireflective subcategories of TOP. Zbl 0588.54017Dikranjan, D.; Giuli, E. 17 1984 Characterizing sequences for precompact group topologies. Zbl 1308.54023Dikranjan, D.; Gabriyelyan, S. S.; Tarieladze, V. 16 2014 Closure operators induced by topological epireflections. Zbl 0601.54016Dikranjan, D.; Giuli, E. 16 1985 Compact-like totally dense subgroups of compact groups. Zbl 0781.54018Dikranjan, Dikran N.; Shakhmatov, Dmitrij B. 15 1992 Closure operators in topological groups related to von Neumann’s kernel. Zbl 1104.18001Dikranjan, Dikran 15 2006 Discrete dynamical systems in group theory. Zbl 1280.37023Dikranjan, Dikran; Giordano Bruno, Anna 15 2013 Topological categories and closure operators. Zbl 0657.18003Dikranjan, D.; Giuli, E.; Toi, A. 14 1988 S(n)-\(\theta\)-closed spaces. Zbl 0658.54015Dikranjan, D.; Giuli, E. 14 1988 Sequential completeness of quotient groups. Zbl 0943.22001Dikranjan, Dikran; Tkačenko, Michael 14 2000 Compactness and connectedness in topological groups. Zbl 0995.54036Dikranjan, Dikran 14 1998 Dimension and connectedness in pseudo-compact groups. Zbl 0783.54029Dikranjan, Dikran 13 1993 Countably compact groups satisfying the open mapping theorem. Zbl 0970.54034Dikranjan, Dikran 13 1999 Locally minimal topological groups. I. Zbl 1225.22002Außenhofer, Lydia; Chasco, M. J.; Dikranjan, Dikran; Domínguez, Xabier 13 2010 A survey on reflexivity of abelian topological groups. Zbl 1247.22001Chasco, M. J.; Dikranjan, D.; Martín-Peinador, E. 12 2012 Subgroups of products of locally compact groups. Zbl 1082.22002Dikranjan, Dikran; Morris, Sidney A. 12 2002 Topologically torsion elements of the circle group. Zbl 1291.22008Dikranjan, Dikran; Impieri, Daniele 12 2014 A solution to van Douwen’s problem on Bohr topologies. Zbl 0983.22001Dikranjan, Dikran; Watson, Stephen 12 2001 On characterized subgroups of compact abelian groups. Zbl 1280.22003Dikranjan, D.; Gabriyelyan, S. S. 12 2013 Convergent sequences in precompact group topologies. Zbl 1092.22001Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans 12 2005 Quasi-convex density and determining subgroups of compact Abelian groups. Zbl 1178.22005Dikranjan, Dikran; Shakhmatov, Dmitri 12 2010 Locally minimal topological groups. II. Zbl 1216.22002Außenhofer, Lydia; Chasco, María Jesús; Dikranjan, Dikran; Domínguez, Xabier 12 2011 w-divisible groups. Zbl 1149.22004Dikranjan, Dikran; Giordano Bruno, Anna 11 2008 Bowen’s entropy for endomorphisms of totally bounded abelian groups. Zbl 1317.22001Alcaraz, Domingo; Dikranjan, Dikran; Sanchis, Manuel 11 2014 A complete solution of Markov’s problem on connected group topologies. Zbl 1331.22003Dikranjan, Dikran; Shakhmatov, Dmitri 11 2016 On transversal group topologies. Zbl 1114.22001Dikranjan, Dikran; Tkachenko, Mikhail; Yaschenko, Ivan 11 2005 Topological groups with thin generating sets. Zbl 0964.22002Dikranjan, D.; Tkačenko, M.; Tkachuk, V. 11 2000 Endomorphisms of abelian groups with small algebraic entropy. Zbl 1320.37013Dikranjan, D.; Gong, K.; Zanardo, P. 11 2013 Algebraic entropy of shift endomorphisms on abelian groups. Zbl 1194.37015Akhavin, Maryam; Dikranjan, Dikran; Giordano Bruno, Anna; Hosseini, Arezoo; Shirazi, Fatemah Ayatollah Zadeh 11 2009 On the poset of precompact group topologies. Zbl 0890.54040Dikranjan, D. 11 1995 Chains of pseudocompact group topologies. Zbl 0909.22002Dikranjan, Dikran 11 1998 Cardinal invariants and independence results in the poset of precompact group topologies. Zbl 0909.22003Berarducci, Alessandro; Dikranjan, Dikran; Forti, Marco; Watson, Stephen 11 1998 Limit free computation of entropy. Zbl 1277.37031Dikranjan, Dikran; Giordano Bruno, Anna 11 2012 Reflection principle characterizing groups in which unconditionally closed sets are algebraic. Zbl 1167.22001Dikranjan, Dikran; Shakhmatov, Dmitri 11 2008 Algebraic entropy for amenable semigroup actions. Zbl 1453.20074Dikranjan, Dikran; Fornasiero, Antongiulio; Giordano Bruno, Anna 10 2020 Pseudocompact and countably compact Abelian groups: Cartesian products and minimality. Zbl 0786.54008Dikranjan, Dikran N.; Shakhmatov, Dmitrii B. 10 1993 Weakly metrizable pseudocompact groups. Zbl 1127.22003Dikranjan, Dikran; Giordano Bruno, Anna; Milan, Chiara 10 2006 “Varopoulos paradigm”: Mackey property versus metrizability in topological groups. Zbl 1360.22002Außenhofer, Lydia; de la Barrera Mayoral, D.; Dikranjan, D.; Martín-Peinador, E. 10 2017 Dual closure operators and their applications. Zbl 1320.18002Dikranjan, Dikran; Tholen, Walter 10 2015 On convergence groups with dense coarse subgroups. Zbl 0637.22002Dikranjan, Dikran; Frič, Roman; Zanolin, Fabio 10 1987 Characterized subgroups of the circle group. Zbl 1405.54017Di Santo, Raffaele; Dikranjan, Dikran; Giordano Bruno, Anna 10 2018 Locally quasi-convex compatible topologies on a topological group. Zbl 1371.22001Außenhofer, Lydia; Dikranjan, Dikran; Martín-Peinador, Elena 10 2015 Countably infinite quasi-convex sets in some locally compact abelian groups. Zbl 1195.22001Dikranjan, Dikran; de Leo, Lorenzo 10 2010 Weakly complete free topological groups. Zbl 0979.54038Dikranjan, Dikran; Tkačenko, Michael 9 2001 Relative minimality and co-minimality of subgroups in topological groups. Zbl 1190.22002Dikranjan, Dikran; Megrelishvili, Michael 9 2010 Counting maximal topologies on countable groups and rings. Zbl 1171.54029Dikranjan, D.; Protasov, Igor 9 2008 Characterized subgroups of topological abelian groups. Zbl 1371.22002Dikranjan, Dikran; Giordano Bruno, Anna; Impieri, Daniele 9 2015 On characterization of linear compactness. Zbl 1006.18007Dikranjan, Dikran; Tonolo, Alberto 9 1995 Statistically characterized subgroups of the circle. Zbl 1453.22003Dikranjan, Dikran; Das, Pratulananda; Bose, Kumardipta 8 2020 Entropy on normed semigroups (towards a unifying approach to entropy). Zbl 1429.16002Dikranjan, Dikran; Bruno, Anna Giordano 8 2019 The lattice of compact representations of an infinite group. Zbl 0848.22002Dikranjan, Dikran 8 1995 Connectedness and disconnectedness in pseudocompact groups. Zbl 0834.22005Dikranjan, Dikran 8 1992 Set-theoretical entropy: a tool to compute topological entropy. Zbl 1301.54037Shirazi, Fatemah Ayatollah Zadeh; Dikranjan, Dikran 8 2012 Pseudocompact totally dense subgroups. Zbl 1138.22003Dikranjan, Dikran; Giordano Bruno, Anna 8 2008 Topological groups with many small subgroups. Zbl 1383.18003Dikranjan, Dikran; Shakhmatov, Dmitri 8 2016 Separation and epimorphisms in quasi-uniform spaces. Zbl 0964.54021Dikranjan, Dikran; Künzi, Hans-Peter 8 2000 Sequentially complete groups: Dimension and minimality. Zbl 0976.22002Dikranjan, Dikran; Tkačenko, Michael 8 2001 Arnautov’s problems on semitopological isomorphisms. Zbl 1213.22003Dikranjan, D.; Giordano Bruno, A. 8 2009 Locally compact abelian groups admitting non-trivial quasi-convex null sequences. Zbl 1186.22008Dikranjan, D.; Lukács, Gábor 8 2010 Some topological groups with and some without suitable sets. Zbl 0983.54038Dikranjan, D.; Tkačenko, M.; Tkachuk, V. 8 1999 Balleans, hyperballeans and ideals. Zbl 1429.54035Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò 7 2019 Semiregular closure operators and epimorphisms in topological categories. Zbl 0782.54009Dikranjan, Dikran N. 7 1992 Uniformly approachable functions and spaces. Zbl 0867.54022Berarducci, Alessandro; Dikranjan, Dikran 7 1993 The density nucleus of a topological group. Zbl 1285.22002Comfort, W. W.; Dikranjan, Dikran 7 2014 Local connectedness and extension of uniformly continuous functions. Zbl 1129.54012Berarducci, Alessandro; Dikranjan, Dikran; Pelant, Jan 7 2006 Scale function vs topological entropy. Zbl 1315.37014Berlai, Federico; Dikranjan, Dikran; Giordano Bruno, Anna 7 2013 Products of minimal abelian groups. Zbl 0685.22001Dikranjan, D. N.; Shakhmatov, D. B. 7 1990 On an unpublished manuscript of Ivan Prodanov concerning locally compact modules and their dualities. Zbl 0689.16018Dikranjan, Dikran; Orsatti, Adalberto 7 1989 Generalized quasi-metric semilattices. Zbl 1490.06003Dikranjan, Dikran; Giordano Bruno, Anna; Künzi, Hans-Peter; Zava, Nicolò; Toller, Daniele 1 2022 Topological groups and the Pontryagin-van Kampen duality. An introduction. Zbl 1492.22001Außenhofer, Lydia; Dikranjan, Dikran; Giordano Bruno, Anna 1 2022 Topological entropy, upper Carathéodory capacity and fractal dimensions of semigroup actions. Zbl 1490.37020Biś, Andrzej; Dikranjan, Dikran; Bruno, Anna Giordano; Stoyanov, Luchezar 2 2021 Mackey groups and Mackey topologies. Zbl 07472607Außenhofer, Lydia; Dikranjan, Dikran 1 2021 Metric versus topological receptive entropy of semigroup actions. Zbl 1475.37023Biś, Andrzej; Dikranjan, Dikran; Giordano Bruno, Anna; Stoyanov, Luchezar 1 2021 Algebraic entropy for amenable semigroup actions. Zbl 1453.20074Dikranjan, Dikran; Fornasiero, Antongiulio; Giordano Bruno, Anna 10 2020 Statistically characterized subgroups of the circle. Zbl 1453.22003Dikranjan, Dikran; Das, Pratulananda; Bose, Kumardipta 8 2020 On uniformly fully inert subgroups of abelian groups. Zbl 1445.20046Dardano, Ulderico; Dikranjan, Dikran; Salce, Luigi 5 2020 Locally quasi-convex compatible topologies on locally compact abelian groups. Zbl 1442.22005Außenhofer, Lydia; Dikranjan, Dikran 4 2020 Algebraic entropies of commuting endomorphisms of torsion abelian groups. Zbl 1496.20086Biś, Andrzej; Dikranjan, Dikran; Bruno, Anna Giordano; Stoyanov, Luchezar 1 2020 Categories of coarse groups: quasi-homomorphisms and functorial coarse structures. Zbl 1442.18025Dikranjan, Dikran; Zava, Nicolò 1 2020 Entropy on normed semigroups (towards a unifying approach to entropy). Zbl 1429.16002Dikranjan, Dikran; Bruno, Anna Giordano 8 2019 Balleans, hyperballeans and ideals. Zbl 1429.54035Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò 7 2019 Hereditarily minimal topological groups. Zbl 1458.22002Xi, Wenfei; Dikranjan, Dikran; Shlossberg, Menachem; Toller, Daniele 5 2019 Dimension and entropy in compact topological groups. Zbl 1459.22001Dikranjan, Dikran; Sanchis, Manuel 4 2019 Quotients of locally minimal groups. Zbl 1414.22007Peng, Dekui; Dikranjan, Dikran; He, Wei; Xiao, Zhiqiang; Xi, Wenfei 3 2019 Hyperballeans of groups. Zbl 1425.54011Dikranjan, D.; Protasov, I.; Zava, N. 3 2019 Locally compact groups and locally minimal group topologies. Zbl 1415.22004Xi, Wenfei; Dikranjan, Dikran; He, Wei; Xiao, Zhiqiang 3 2019 Densely locally minimal groups. Zbl 1422.22005Xi, W.; Dikranjan, D.; Shlossberg, M.; Toller, D. 1 2019 Characterized subgroups of the circle group. Zbl 1405.54017Di Santo, Raffaele; Dikranjan, Dikran; Giordano Bruno, Anna 10 2018 Inertial properties in groups. Zbl 1442.20023Dardano, Ulderico; Dikranjan, Dikran; Rinauro, Silvana 6 2018 Cowellpoweredness of some categories of quasi-uniform spaces. Zbl 1408.18002Dikranjan, Dikran; Künzi, Hans-Peter A. 2 2018 Zariski topology and Markov topology on groups. Zbl 1478.22002Dikranjan, Dikran; Toller, Daniele 1 2018 Characterizing Lie groups by controlling their zero-dimensional subgroups. Zbl 1393.22006Dikranjan, Dikran; Shakhmatov, Dmitri 1 2018 Some categorical aspects of coarse spaces and balleans. Zbl 1377.54027Dikranjan, Dikran; Zava, Nicolò 19 2017 “Varopoulos paradigm”: Mackey property versus metrizability in topological groups. Zbl 1360.22002Außenhofer, Lydia; de la Barrera Mayoral, D.; Dikranjan, D.; Martín-Peinador, E. 10 2017 The Mackey topology problem: a complete solution for bounded groups. Zbl 1379.22001Außenhofer, L.; Dikranjan, D. 6 2017 Preservation and reflection of size properties of balleans. Zbl 1423.54053Dikranjan, Dikran; Zava, Nicolò 5 2017 Dirichlet sets vs characterized subgroups. Zbl 1393.54018Barbieri, Giuseppina; Dikranjan, Dikran; Giordano Bruno, Anna; Weber, Hans 5 2017 Entropy on abelian groups. Zbl 1368.37015Dikranjan, Dikran; Giordano Bruno, Anna 39 2016 A complete solution of Markov’s problem on connected group topologies. Zbl 1331.22003Dikranjan, Dikran; Shakhmatov, Dmitri 11 2016 Topological groups with many small subgroups. Zbl 1383.18003Dikranjan, Dikran; Shakhmatov, Dmitri 8 2016 On the Borel complexity of characterized subgroups. Zbl 1348.22006Dikranjan, Dikran; Impieri, Daniele 6 2016 Direct sums and products in topological groups and vector spaces. Zbl 1335.22004Dikranjan, Dikran; Shakhmatov, Dmitri; Spěvák, Jan 5 2016 Intrinsic algebraic entropy. Zbl 1355.20041Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone 23 2015 Dual closure operators and their applications. Zbl 1320.18002Dikranjan, Dikran; Tholen, Walter 10 2015 Locally quasi-convex compatible topologies on a topological group. Zbl 1371.22001Außenhofer, Lydia; Dikranjan, Dikran; Martín-Peinador, Elena 10 2015 Characterized subgroups of topological abelian groups. Zbl 1371.22002Dikranjan, Dikran; Giordano Bruno, Anna; Impieri, Daniele 9 2015 A factorization theorem for topological abelian groups. Zbl 1334.22001Dikranjan, Dikran; Giordano Bruno, Anna 4 2015 On Hewitt groups and finer locally compact group topologies. Zbl 1347.22002Dikranjan, Dikran; Impieri, Daniele 3 2015 Countable powers of compact abelian groups in the uniform topology and cardinality of their dual groups. Zbl 1339.22002Dikranjan, D.; Martin-Peinador, E.; Tarieladze, V. 1 2015 Minimality conditions in topological groups. Zbl 1308.54002Dikranjan, Dikran; Megrelishvili, Michael 19 2014 Fully inert subgroups of free Abelian groups. Zbl 1322.20046Dikranjan, D.; Salce, L.; Zanardo, P. 19 2014 The Bridge Theorem for totally disconnected LCA groups. Zbl 1322.37007Dikranjan, Dikran; Giordano Bruno, Anna 18 2014 Group valued null sequences and metrizable non-Mackey groups. Zbl 1307.22002Dikranjan, Dikran; Martín-Peinador, Elena; Tarieladze, Vaja 17 2014 Characterizing sequences for precompact group topologies. Zbl 1308.54023Dikranjan, D.; Gabriyelyan, S. S.; Tarieladze, V. 16 2014 Topologically torsion elements of the circle group. Zbl 1291.22008Dikranjan, Dikran; Impieri, Daniele 12 2014 Bowen’s entropy for endomorphisms of totally bounded abelian groups. Zbl 1317.22001Alcaraz, Domingo; Dikranjan, Dikran; Sanchis, Manuel 11 2014 The density nucleus of a topological group. Zbl 1285.22002Comfort, W. W.; Dikranjan, Dikran 7 2014 Questions on the Borel complexity of characterized subgroups. Zbl 1362.22006Dikranjan, Dikran; Impieri, Daniele 5 2014 Compact-like abelian groups without non-trivial quasi-convex null sequences. Zbl 1280.22002Dikranjan, D.; Lukács, Gábor 4 2014 Fully inert subgroups of divisible Abelian groups. Zbl 1292.20062Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi; Virili, Simone 25 2013 Discrete dynamical systems in group theory. Zbl 1280.37023Dikranjan, Dikran; Giordano Bruno, Anna 15 2013 On characterized subgroups of compact abelian groups. Zbl 1280.22003Dikranjan, D.; Gabriyelyan, S. S. 12 2013 Endomorphisms of abelian groups with small algebraic entropy. Zbl 1320.37013Dikranjan, D.; Gong, K.; Zanardo, P. 11 2013 Scale function vs topological entropy. Zbl 1315.37014Berlai, Federico; Dikranjan, Dikran; Giordano Bruno, Anna 7 2013 Entropy in a category. Zbl 1337.18005Dikranjan, Dikran; Giordano Bruno, Anna 7 2013 Metrization criteria for compact groups in terms of their dense subgroups. Zbl 1283.22004Dikranjan, Dikran; Shakhmatov, Dmitri 5 2013 Compact groups with a dense free abelian subgroup. Zbl 1295.22011Dikranjan, Dikran; Giordano Bruno, Anna 3 2013 Metrizability of hereditarily normal compact like groups. Zbl 1304.22001Dikranjan, Dikran; Impieri, Daniele; Toller, Daniele 1 2013 Productivity of the Zariski topology on groups. Zbl 1274.20038Dikranjan, Dikran; Toller, Daniele 1 2013 New and old facts about entropy in uniform spaces and topological groups. Zbl 1242.54005Dikranjan, Dikran; Sanchis, Manuel; Virili, Simone 30 2012 Topological entropy and algebraic entropy for group endomorphisms. Zbl 1300.54002Dikranjan, Dikran; Giordano Bruno, Anna 28 2012 The connection between topological and algebraic entropy. Zbl 1256.54061Dikranjan, Dikran; Giordano Bruno, Anna 20 2012 The Pinsker subgroup of an algebraic flow. Zbl 1247.37014Dikranjan, Dikran; Giordano Bruno, Anna 18 2012 A survey on reflexivity of abelian topological groups. Zbl 1247.22001Chasco, M. J.; Dikranjan, D.; Martín-Peinador, E. 12 2012 Limit free computation of entropy. Zbl 1277.37031Dikranjan, Dikran; Giordano Bruno, Anna 11 2012 Set-theoretical entropy: a tool to compute topological entropy. Zbl 1301.54037Shirazi, Fatemah Ayatollah Zadeh; Dikranjan, Dikran 8 2012 Markov’s problems through the looking glass of Zariski and Markov topologies. Zbl 1295.22002Dikranjan, D.; Toller, D. 5 2012 The Markov and Zariski topologies of some linear groups. Zbl 1277.22002Dikranjan, D.; Toller, D. 5 2012 On the quasi-component of pseudocompact abelian groups. Zbl 1238.22002Dikranjan, D.; Lukács, Gábor 2 2012 Quasi-convexly dense and suitable sets in the arc component of a compact group. Zbl 1241.22003Dikranjan, Dikran; Shakhmatov, Dmitri 1 2012 Locally minimal topological groups. II. Zbl 1216.22002Außenhofer, Lydia; Chasco, María Jesús; Dikranjan, Dikran; Domínguez, Xabier 12 2011 A characterization of the circle group via uniqueness of roots. Zbl 1254.22004Dikranjan, Dikran; Di Santo, Raffaele 7 2011 A Kronecker-Weyl theorem for subsets of Abelian groups. Zbl 1266.20063Dikranjan, Dikran; Shakhmatov, Dmitri 7 2011 On zero-dimensionality and the connected component of locally pseudocompact groups. Zbl 1227.22004Dikranjan, D.; Lukács, Gábor 5 2011 Functorial topologies and finite-index subgroups of Abelian groups. Zbl 1237.54033Dikranjan, Dikran; Giordano Bruno, Anna 5 2011 Productivity of sequences with respect to a given weight function. Zbl 1332.22001Dikranjan, Dikran; Shakhmatov, Dmitri; Spěvák, Jan 5 2011 An elementary approach to Haar integration and Pontryagin duality in locally compact Abelian groups. Zbl 1226.22005Dikranjan, Dikran; Stoyanov, Luchezar 2 2011 Ken and the Bohr topology. Zbl 1235.22005Dikranjan, D. 1 2011 The Markov-Zariski topology of an abelian group. Zbl 1211.22002Dikranjan, Dikran; Shakhmatov, Dmitri 23 2010 Adjoint algebraic entropy. Zbl 1201.20053Dikranjan, Dikran; Giordano Bruno, Anna; Salce, Luigi 20 2010 Locally minimal topological groups. I. Zbl 1225.22002Außenhofer, Lydia; Chasco, M. J.; Dikranjan, Dikran; Domínguez, Xabier 13 2010 Quasi-convex density and determining subgroups of compact Abelian groups. Zbl 1178.22005Dikranjan, Dikran; Shakhmatov, Dmitri 12 2010 Countably infinite quasi-convex sets in some locally compact abelian groups. Zbl 1195.22001Dikranjan, Dikran; de Leo, Lorenzo 10 2010 Relative minimality and co-minimality of subgroups in topological groups. Zbl 1190.22002Dikranjan, Dikran; Megrelishvili, Michael 9 2010 Locally compact abelian groups admitting non-trivial quasi-convex null sequences. Zbl 1186.22008Dikranjan, D.; Lukács, Gábor 8 2010 Quasi-convex sequences in the circle and the 3-adic integers. Zbl 1225.22003Dikranjan, D.; Lukács, Gábor 7 2010 Hewitt-Marczewski-Pondiczery type theorem for Abelian groups and Markov’s potential density. Zbl 1208.22001Dikranjan, Dikran; Shakhmatov, Dmitri 7 2010 Strings of group endomorphisms. Zbl 1225.37010Dikranjan, Dikran; Giordano Bruno, Anna; Virili, Simone 5 2010 Dualities in topological groups. Zbl 1205.22005Dikranjan, Dikran; Ferrer, Maria Vicenta; Hernandez, Salvador 2 2010 Algebraic entropy for Abelian groups. Zbl 1176.20057Dikranjan, Dikran; Goldsmith, Brendan; Salce, Luigi; Zanardo, Paolo 63 2009 Algebraic entropy of shift endomorphisms on abelian groups. Zbl 1194.37015Akhavin, Maryam; Dikranjan, Dikran; Giordano Bruno, Anna; Hosseini, Arezoo; Shirazi, Fatemah Ayatollah Zadeh 11 2009 Arnautov’s problems on semitopological isomorphisms. Zbl 1213.22003Dikranjan, D.; Giordano Bruno, A. 8 2009 Products of straight spaces. Zbl 1170.54011Berarducci, Alessandro; Dikranjan, Dikran; Pelant, Jan 3 2009 Minimal pseudocompact group topologies on free abelian groups. Zbl 1179.22001Dikranjan, Dikran; Giordano Bruno, Anna; Shakhmatov, Dmitri 1 2009 Topological torsion related to some recursive sequences of integers. Zbl 1144.11059Barbieri, Giuseppina; Dikranjan, Dikran; Milan, Chiara; Weber, Hans 19 2008 w-divisible groups. Zbl 1149.22004Dikranjan, Dikran; Giordano Bruno, Anna 11 2008 Reflection principle characterizing groups in which unconditionally closed sets are algebraic. Zbl 1167.22001Dikranjan, Dikran; Shakhmatov, Dmitri 11 2008 Counting maximal topologies on countable groups and rings. Zbl 1171.54029Dikranjan, D.; Protasov, Igor 9 2008 ...and 120 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 445 Authors 143 Dikranjan, Dikran N. 45 Giordano Bruno, Anna 29 Tkachenko, Mikhail Gelievich 28 Shakhmatov, Dmitri B. 23 Protasov, Igor Volodymyrovych 19 Castellini, Gabriele 19 Salce, Luigi 17 Giuli, Eraldo 16 Gabriyelyan, Saak S. 15 Tomita, Artur Hideyuki 14 Außenhofer, Lydia 14 Comfort, William Wistar 13 Martin Peinador, Elena 13 Šlapal, Josef 13 Tholen, Walter 13 Virili, Simone 12 Banakh, Taras Onufrievich 12 Chasco, María Jesús 12 Gran, Marino 11 Domínguez, Xabier 11 He, Wei 11 Hernández, Salvador 11 Zava, Nicolò 10 Holgate, David B. 10 Toller, Daniele 9 Bardyla, Serhii 9 Goldsmith, Brendan 9 Lukács, Gábor 9 Tarieladze, Vasha I. 8 Colebunders, Eva 8 Dardano, Ulderico 8 Fay, Temple H. 8 Frič, Roman 8 Peng, Dekui 8 Weber, Hans Josef Karl 8 Zanardo, Paolo 7 Chekhlov, Andreĭ Rostislavovich 7 Clementino, Maria Manuel 7 Galindo, Jorge 7 Megrelishvili, Michael G. 7 Pelant, Jan 7 Shlossberg, Menachem 7 Xi, Wenfei 7 Yañez, Víctor Hugo 6 Berarducci, Alessandro 6 Das, Pratulananda 6 Ferrer, Maria Vicenta 6 Kashu, Alekseĭ Ivanovich 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 Castellano, Ilaria 5 Hosseini, Seyed Naser 5 Kula, Muammer 5 Lin, Fucai 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 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 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 Halbeisen, Lorenz J. 3 Hungerbuhler, Norbert 3 Iragi, Minani 3 Koslowski, Jürgen 3 Künzi, Hans-Peter A. 3 Lowen, Robert 3 Mahmoudi, Mojgan 3 Özkan, Samed 3 Schumacher, Salome 3 Solovyov, Sergey A. ...and 345 more Authors all top 5 Cited in 125 Serials 217 Topology and its Applications 37 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 14 Acta Mathematica Hungarica 13 Journal of Mathematical Analysis and Applications 13 Cahiers de Topologie et Géométrie Différentielle Catégoriques 13 Quaestiones Mathematicae 13 Forum Mathematicum 10 Rendiconti del Seminario Matematico della Università di Padova 10 Journal of Group Theory 10 Topological Algebra and its Applications 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 6 Journal of Algebra and its Applications 5 Mathematica Slovaca 5 Buletinul Academiei de Științe a Republicii Moldova. Matematica 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 Fundamenta Mathematicae 4 Mathematische Zeitschrift 4 Ricerche di Matematica 4 European Journal of Mathematics 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. 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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 ...and 25 more Serials all top 5 Cited in 42 Fields 414 General topology (54-XX) 306 Topological groups, Lie groups (22-XX) 177 Category theory; homological algebra (18-XX) 156 Group theory and generalizations (20-XX) 72 Dynamical systems and ergodic theory (37-XX) 65 Order, lattices, ordered algebraic structures (06-XX) 59 Abstract harmonic analysis (43-XX) 41 Associative rings and algebras (16-XX) 33 Number theory (11-XX) 33 Functional analysis (46-XX) 30 Mathematical logic and foundations (03-XX) 20 Commutative algebra (13-XX) 19 Measure and integration (28-XX) 11 General algebraic systems (08-XX) 10 Geometry (51-XX) 8 Combinatorics (05-XX) 8 Computer science (68-XX) 7 Algebraic topology (55-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) 5 Real functions (26-XX) 5 Manifolds and cell complexes (57-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) Citations by Year