37 citations · 153 across the 24 of their papers we have counts for
9 papers · 2 filters
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…
Entropy on abelian groups
Dikran Dikranjan, Anna Giordano Bruno
We introduce the algebraic entropy for endomorphisms of arbitrary abelian groups, appropriately modifying existing notions of entropy. The basic properties of the algebraic entropy…
Algebraic entropy of generalized shifts on direct products
Anna Giordano Bruno
For a set , a function and a non-trivial abelian group , the generalized shift is defined by . In this p…
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…
The Pinsker subgroup of an algebraic flow
Dikran Dikranjan, Anna Giordano Bruno
The algebraic entropy h, defined for endomorphisms f of abelian groups G, measures the growth of the trajectories of non-empty finite subsets F of G with respect to f. We show that…