37 citations · 153 across the 24 of their papers we have counts for
14 papers · 1 filter
The Protasov-Zelenyuk topology and ideal convergence
Lydia Außenhofer, Dikran Dikranjan, Anna Giordano Bruno
The so-called -sequences in a group , and the related finest Hausdorff group topology on that makes a null sequence, were introduced…
The addition theorem for locally monotileable monoid actions
Dikran Dikranjan, Antongiulio Fornasiero, Anna Giordano Bruno +1
We prove an instance of the so-called Addition Theorem for the algebraic entropy of actions of cancellative right amenable monoids on discrete abelian groups by endomorphis…
Discrete dynamical systems in group theory
Dikran Dikranjan, Anna Giordano Bruno
In this expository paper we describe an unifying approach for many known entropies in Mathematics. First we recall the notion of semigroup entropy h_S in the category S of normed s…
Algebraic Yuzvinski Formula
Anna Giordano Bruno, Simone Virili
In 1965 Adler, Konheim and McAndrew defined the topological entropy for continuous self-maps of compact spaces. Topological entropy is very well-understood for endomorphisms of com…
Arnautov's problems on semitopological isomorphisms
Dikran Dikranjan, Anna Giordano Bruno
Semitopological isomorphisms of topological groups were introduced by Arnautov, who posed several questions related to compositions of semitopological isomorphisms and the groups G…
Algebraic entropy of shift endomorphisms on abelian groups
Maryam Akhavin, Fatemah Ayatollah Zadeh Shirazi, Dikran Dikranjan +2
For every finite-to-one map and for every abelian group , the generalized shift of the direct sum is the endomorphism defined by $(x_i)_{i\inΓ}\ma…