37 citations · 39 across the 5 of their papers we have counts for
5 papers
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…
Semitopological homomorphisms
Anna Giordano Bruno
Inspired by an analogous result of Arnautov about isomorphisms, we prove that all continuous surjective homomorphisms of topological groups f:G-->H can be obtained as restrictions…
Adjoint entropy vs Topological entropy
Anna Giordano Bruno
Recently the adjoint algebraic entropy of endomorphisms of abelian groups was introduced and studied. We generalize the notion of adjoint entropy to continuous endomorphisms of top…
Adjoint algebraic entropy
Dikran Dikranjan, Anna Giordano Bruno, Luigi Salce
The new notion of adjoint algebraic entropy of endomorphisms of Abelian groups is introduced. Various examples and basic properties are provided. It is proved that the adjoint alge…
Entropy in a category
Dikran Dikranjan, Anna Giordano Bruno
The Pinsker subgroup of an abelian group with respect to an endomorphism was introduced in the context of algebraic entropy. Motivated by the nice properties and characterizations…