D. Dikranjan

发表

Algebraic entropy for amenable semigroup actions

D. Dikranjan, A. Fornasiero, Anna Giordano Bruno, 2019, Journal of Algebra.

Topological Entropy and Algebraic Entropy for group endomorphisms

D. Dikranjan, A. Bruno, 2013, 1308.4019.

New and old facts about entropy in uniform spaces and topological groups

D. Dikranjan, M. Sanchis, Simone Virili, 2012 .

S(n)-?-closed spaces

Dikran Dikranjan, D. Dikranjan, 1988 .

THE DENSITY NUCLEUS OF A TOPOLOGICAL GROUP

D. Dikranjan, 2014 .

Compact-like abelian groups without non-trivial quasi-convex null sequences

D. Dikranjan, G. Luk'acs, 2010, 1007.1927.

h-1 – Topological Groups

D. Dikranjan, 2003 .

Essential density and total density in topological groups

D. Dikranjan, W. Comfort, 2002 .

Separation and Epimorphisms in Quasi-Uniform Spaces

H. Künzi, D. Dikranjan, 2000 .

Zariski topology and Markov topology on groups

D. Dikranjan, D. Toller, 2018, Topology and its Applications.

Hereditarily minimal topological groups

D. Dikranjan, Menachem Shlossberg, D. Toller, 2018, Forum Mathematicum.

Fully inert subgroups of divisible Abelian groups

D. Dikranjan, A. Bruno, Simone Virili, 2013 .

NSS and TAP properties in topological groups close to being compact

D. Dikranjan, D. Shakhmatov, Jan Spvev'ak, 2009, 0909.2381.

Quasi‐convexly dense and suitable sets in the arc component of a compact group

D. Dikranjan, D. Shakhmatov, 2012 .

Quasi-convex density in compact abelian groups, with applications to determined groups

D. Dikranjan, D. Shakhmatov, 2008 .

Countably determined compact abelian groups

D. Dikranjan, D. Shakhmatov, 2008 .

Weight of closed subsets topologically generating a compact group

D. Dikranjan, D. Shakhmatov, 2007 .

Reflection principle characterizing groups in which unconditionally closed sets are algebraic

D. Dikranjan, D. Shakhmatov, 2007, math/0703304.

Algebraic entropies of commuting endomorphisms of torsion abelian groups

D. Dikranjan, Anna Giordano Bruno, A. Bi's, 2020 .

Factorizations, injectivity and compactness in categories of modules

E. Giuli, D. Dikranjan, 1991 .

Algebraic Entropy of Shift Endomorphisms on Abelian Groups

D. Dikranjan, A. Bruno, F. A. Z. Shirazi, 2009, 1007.0541.

G R ] 3 M ay 2 01 6 Entropy on abelian groups ∗

D. Dikranjan, A. Bruno, J. Peters, 2018 .

Intrinsic algebraic entropy

D. Dikranjan, A. Bruno, Simone Virili, 2015 .

A Distinguished Subgroup of Compact Abelian Groups

A. Mader, D. Dikranjan, P. Loth, 2022, Axioms.

Functions with distant fibers and uniform continuity

A. Berarducci, D. Dikranjan, J. Pelant, 2002 .

Epis in categories of convergence spaces

E. Giuli, D. Dikranjan, 1993 .

Categories of coarse groups: Quasi-homomorphisms and functorial coarse structures

D. Dikranjan, N. Zava, 2019, Topology and its Applications.

Topics in uniform continuity

Dušan D. Repovš, D. Dikranjan, 2011, 1112.1296.

Uniform quasi components, thin spaces and compact separation ? ? The first and the second author wer

A. Berarducci, D. Dikranjan, J. Pelant, 2002 .

Characterized subgroups of the circle group

D. Dikranjan, Raffaele Di Santo, A. Giordano Bruno, 2018, Ricerche di Matematica.

Selected topics from the structure theory of topological groups

D. Dikranjan, D. Shakhmatov, 2007 .

Countably compact groups satisfying the open mapping theorem

D. Dikranjan, 1999 .

DUALITIES IN TOPOLOGICAL GROUPS

S. Hernández, D. Dikranjan, Ferrer Maria Vicenta, 2010 .

Countable Powers of Compact Abelian Groups in the Uniform Topology and Cardinality of Their Dual Groups

D. Dikranjan, E. Martín-Peinador, V. Tarieladze, 2015, Journal of Mathematical Sciences.

Metric Versus Topological Receptive Entropy of Semigroup Actions

D. Dikranjan, L. Stoyanov, A. Giordano Bruno, 2021, Qualitative Theory of Dynamical Systems.

Topological groups with many small subgroups

D. Dikranjan, D. Shakhmatov, 2016 .

Final solution of Protasov-Comfort's problem on minimally almost periodic group topologies

D. Dikranjan, D. Shakhmatov, 2014, 1410.3313.

The Markov and Zariski topologies of some linear groups

D. Dikranjan, D. Toller, 2012 .

MARKOV'S PROBLEMS THROUGH THE LOOKING GLASS OF ZARISKI AND MARKOV TOPOLOGIES

D. Dikranjan, D. Toller, 2011 .

CLP-compactness for topological spaces and groups

D. Dikranjan, 2007 .

Torsion theories and radicals in normal categories

W. Tholen, D. Dikranjan, M. M. Clementino, 2006 .

Closure operators in topological groups related to von Neumann's kernel☆

D. Dikranjan, 2006 .

Suitable sets in some topological groups

D. Dikranjan, F. Trigos-Arrieta, 2000 .

Ore localization of amenable monoid actions and applications towards entropy $-$ addition formulas and the bridge theorem

D. Dikranjan, A. Bruno, Simone Virili, 2023, 2302.07174.

TOPOLOGICAL CATEGORIES AND CLOSURE OPERATORS

Anna Tozzi, Eraldo Giuli, Dikran Dikranjan, 1988 .

Endomorphisms of abelian groups with small algebraic entropy

Dikran Dikranjan, Ketao Gong, D. Dikranjan, 2013 .

The connection between topological and algebraic entropy

Dikran Dikranjan, Anna Giordano Bruno, D. Dikranjan, 2012 .

Entropy on abelian groups

Dikran Dikranjan, Anna Giordano Bruno, D. Dikranjan, 2010, 1007.0533.

On an unpublished manuscript of ivan prodanov concerning locally compact modules and their dualities(

D. Dikranjan, A. Orsatti, 1989 .

COMPACT RINGS AND THEIR DUALITIES

D. Dikranjan, A. Orsatti, 1984 .

On the Structure of Linearly Compact Rings and Their Dualities

D. Dikranjan, A. Orsatti, 1984 .

Countably compact groups having minimal infinite powers

Dikran Dikranjan, Vladimir Uspenskij, D. Dikranjan, 2021, 2112.08488.

ON THE MINIMALITY OF POWERS OF MINIMAL ω -BOUNDED ABELIAN GROUPS

D. Dikranjan, A. Tonolo, 1999 .

THE IMPACT OF CLOSURE OPERATORS ON THE STRUCTURE OF A CONCRETE CATEGORY

Dikran Dikranjan, Jan Pelant, D. Dikranjan, 1995 .

On the lattice of linear module topologies

D. Dikranjan, A. Tonolo, 1993 .

Dualities of locally compact modules over the rationals

D. Dikranjan, Chiara Milan, 2002 .

Uniqueness of Dualities

D. Dikranjan, 1995 .

Rings with Only Ideal Topologies

D. Dikranjan, W. Wiȩsław, 1980 .

Discrete dynamical systems in group theory

D. Dikranjan, A. Bruno, 2013, 1308.4035.

Dimension and entropy in compact topological groups

D. Dikranjan, M. Sanchis, 2019, Journal of Mathematical Analysis and Applications.

Minimality Conditions in Topological Groups

M. Megrelishvili, D. Dikranjan, 2014 .

A survey on reflexivity of abelian topological groups

M. J. Chasco, D. Dikranjan, E. Martín-Peinador, 2012 .

abelian groups, module theory, and topology

D. Dikranjan, L. Salce, 2019 .

Topology Proceedings

S. Morris, D. Dikranjan, 2008 .

ALGEBRAIC ENTROPY FOR ABELIAN GROUPS

Brendan Goldsmith, Luigi Salce, Dikran Dikranjan, 2009 .

Dual closure operators and their applications

W. Tholen, D. Dikranjan, 2015 .

Closure operators I

Eraldo Giuli, Dikran Dikranjan, E. Giuli, 1987 .

The category of S(α)-spaces is not cowellpowered☆

Stephen Watson, Dikran Dikranjan, S. Watson, 1995 .

Inertial Properties in Groups

D. Dikranjan, Ulderico Dardano, S. Rinauro, 2017, 1705.02954.

Fully inert subgroups of free Abelian groups

Luigi Salce, Dikran Dikranjan, P. Zanardo, 2014, Period. Math. Hung..

Recent advances in minimal topological groups

D. Dikranjan, 1998 .

Compactness and connectedness in topological groups

D. Dikranjan, 1998 .

Zero-dimensionality of some pseudocompact groups

D. Dikranjan, 1994 .

Pseudocompact and countably compact abelian groups: Cartesian products and minimality

D. Dikranjan, D. Shakhmatov, 1993 .

Compact-like totally dense subgroups of compact groups

D. Dikranjan, D. Shakhmatov, 1992 .

Products of minimal Abelian groups

D. Dikranjan, D. Shakhmatov, 1990 .

Chains of pseudocompact group topologies

D. Dikranjan, 1998 .

Entropy on normed semigroups (A unifying approach to entropy)

D. Dikranjan, A. Bruno, 2018, 1808.03858.

Entropy in a Category

Dikran Dikranjan, Anna Giordano Bruno, D. Dikranjan, 2010, Appl. Categorical Struct..

Sequentially complete groups: dimension and minimality

D. Dikranjan, M. Tkačenko, 2001 .

Sequential completeness of quotient groups

D. Dikranjan, M. Tkačenko, 2000, Bulletin of the Australian Mathematical Society.

Topological groups with thin generating sets

V. Tkachuk, D. Dikranjan, Mikhail G. Tkačenko, 2000 .

Quotients of zero-dimensional precompact abelian groups

D. Dikranjan, 1998 .

Algebraic Structure of Pseudocompact Groups

D. Dikranjan, D. Shakhmatov, 1998 .

Cardinal invariants and independence results in the poset of precompact group topologies

A. Berarducci, M. Forti, S. Watson, 1998 .

Dimension and connectedness in pseudo-compact groups

D. Dikranjan, 1993 .

Categorical Structure of Closure Operators

Walter Tholen, Dikran Dikranjan, W. Tholen, 1995 .

Entropy on normed semigroups (towards a unifying approach to entropy)

D. Dikranjan, A. Bruno, 2018, Dissertationes Mathematicae.

The Pinsker subgroup of an algebraic flow

D. Dikranjan, A. Bruno, 2010, 1006.5120.

An elementary approach to Haar integration and Pontryagin duality in locally compact abelian groups

D. Dikranjan, L. Stoyanov, 2011 .

S(n)-O-CLOSED SPACES

E. Giuli, D. Dikranjan, 1988 .

Transversal group topologies on non-abelian groups

D. Dikranjan, M. Tkachenko, I. Yaschenko, 2006 .

On transversal group topologies

D. Dikranjan, M. Tkachenko, I. Yaschenko, 2005 .

The Markov–Zariski topology of an abelian group

D. Dikranjan, D. Shakhmatov, 2010, 1005.1149.

Preservation and reflection of size properties of balleans

D. Dikranjan, N. Zava, 2017 .

Direct sums and products in topological groups and vector spaces

D. Dikranjan, D. Shakhmatov, Jan Spvev'ak, 2015, 1508.00667.

Weakly complete free topological groups

D. Dikranjan, M. Tkačenko, 2001 .

Cardinal invariants and convergence properties of locally minimal groups

D. Dikranjan, D. Shakhmatov, 2019, Topology and its Applications.

$germ t$-dense subgroups of topological abelian groups

D. Dikranjan, G. Barbieri, H. Weber, 2006 .

“Varopoulos paradigm”: Mackey property versus metrizability in topological groups

D. Dikranjan, E. Martín-Peinador, L. Außenhofer, 2016, 1603.03892.

Group valued null sequences and metrizable non-Mackey groups

D. Dikranjan, E. Martín-Peinador, V. Tarieladze, 2012 .

Metrizability of hereditarily normal compact like groups 1

D. Dikranjan, Daniele Impieri, D. Toller, 2014 .

Metrizability of hereditarily normal compact like groups

D. Dikranjan, Daniele Impieri, D. Toller, 2013 .

Conway’s Question: The Chase for Completeness

Vaja Tarieladze, Dikran Dikranjan, Elena Martín Peinador, 2007, Appl. Categorical Struct..

Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics

Walter Tholen, Dikran Dikranjan, W. Tholen, 1995 .

Forcing hereditarily separable compact-like group topologies on Abelian groups

D. Dikranjan, D. Shakhmatov, 2005 .

Some topological groups with and some without suitable sets

V. Tkachuk, D. Dikranjan, Mikhail G. Tkačenko, 1999 .

The gentle, generous giant tampering with dense subgroups of topological groups

D. Dikranjan, 2019, Topology and its Applications.

Characterizing sequences for precompact group topologies

D. Dikranjan, V. Tarieladze, S. Gabriyelyan, 2012, 1206.0587.

Metrization criteria for compact groups in terms of their dense subgroups

D. Dikranjan, D. Shakhmatov, 2011, 1102.5077.

Super-sequences in the arc component of a compact connected group

D. Dikranjan, D. Shakhmatov, 2008, 0812.2888.

Quasi-convex density and determining subgroups of compact abelian groups

D. Dikranjan, D. Shakhmatov, 2008, 0807.3846.

Productivity of sequences with respect to a given weight function

D. Dikranjan, D. Shakhmatov, Jan Spvev'ak, 2010, 1011.1524.

A complete solution of Markov's problem on connected group topologies

D. Dikranjan, D. Shakhmatov, 2015, 1509.06660.

A Factorization Theorem for Topological Abelian Groups

D. Dikranjan, A. Bruno, 2015 .

w-Divisible groups

D. Dikranjan, A. Bruno, 2008 .

Convergent sequences in precompact group topologies

D. Dikranjan, G. Barbieri, H. Weber, 2005 .

Scale function vs Topological entropy

D. Dikranjan, A. Bruno, Federico Berlai, 2012, 1210.1749.

in Journal of Algebra and Its Applications

D. Dikranjan, A. Bruno, D. Toller, 2022 .

Metric Versus Topological Receptive Entropy of Semigroup Actions

Dikran Dikranjan, Luchezar Stoyanov, Andrzej Biś, 2021, 2103.07148.

The addition theorem for locally monotileable monoid actions

D. Dikranjan, A. Fornasiero, A. Bruno, 2020, Journal of Pure and Applied Algebra.

Ore localization of amenable monoid actions and applications toward entropy—addition formulas and the bridge theorem

D. Dikranjan, A. Bruno, Simone Virili, 2023, Illinois Journal of Mathematics.

Topology and its Applications

D. Dikranjan, A. Bruno, G. Barbieri, 2022 .

Topological entropy, upper Carath

D. Dikranjan, A. Bruno, L. Stoyanov, 2021, Colloquium Mathematicum.

Topology and its Applications

K. P. Hart, Ssdi 0166-8641E0041-L, CO-ABSOLUTES OF Uω, 2007 .

An additivity theorem for uniformly continuous functions

A. Berarducci, D. Dikranjan, J. Pelant, 2005 .

Categories of topological spaces with sufficiently many sequentially closed spaces

D. Dikranjan, J. Pelant, 1997 .

On characterized subgroups of compact abelian groups

D. Dikranjan, S. Gabriyelyan, 2013 .

A characterization of the circle group via uniqueness of roots

D. Dikranjan, R. Santo, 2011 .

Separation and Epimorphisms in Quasi-Uniform Spaces

Dikran Dikranjan, Hans-Peter Künzi, H. Künzi, 2000, Appl. Categorical Struct..

Characterizing subgroups of compact abelian groups

K. Kunen, D. Dikranjan, 2004, math/0412327.

D ec 2 00 4 Characterizing Subgroups of Compact Abelian Groups

K. Kunen, D. Dikranjan, 2008 .

“Varopoulos paradigm”: Mackey property versus metrizability in topological groups

D. Dikranjan, E. Martín-Peinador, L. Außenhofer, 2016, Revista Matemática Complutense.

Locally minimal topological groups 2

M. J. Chasco, D. Dikranjan, L. Außenhofer, 2010, 1006.5285.

Ju n 20 10 Locally minimal topological groups 2 ∗ To the memory of Ivan Prodanov ( 1935-1985 )

D. Dikranjan, L. Außenhofer, 2010 .