Add to ORKGThe theory of endomorphism rings of algebraic structures allows, in a natural way, a systematic approach based on the notion of entropy borrowed from dynamical systems. In the present work we introduce a \lq dual\rq \ notion based upon the replacement of the finite groups used in the definition of algebraic entropy, by subgroups of finite index. The basic properties of this new entropy are established and a connection to Hopfian groups is investigated
In this expository paper we describe a unifying approach for many known entropies in Mathematics. Fi...
For actions of m commuting endomorphisms of a torsion abelian group we compute the algebraic entropy...
Topological entropy is very well-understood for endomorphisms of compact Abelian groups. A fundament...
The new notion of adjoint algebraic entropy of endomorphisms of Abelian groups is introduced. Variou...
Recently the adjoint algebraic entropy of endomorphisms of abelian groups was introduced and studied...
The theory of endomorphism rings of algebraic structures allows, in a natural way, a systematic appr...
AbstractWe introduce the algebraic entropy for endomorphisms of arbitrary abelian groups, appropriat...
We introduce the algebraic entropy for endomorphisms of arbitrary abelian groups, appropriately modi...
The theory of endomorphism rings of algebraic structures allows, in a natural way, a systematic appr...
The notion of adjoint entropy for the endomorphisms of an Abelian group is somehow dual to that of a...
We show that the topological entropy of a continuous endomorphism of a compact abelian group coincid...
The new notion of intrinsic algebraic entropy (ent) over tilde of endomorphisms of Abelian groups is...
AbstractRecently the adjoint algebraic entropy of endomorphisms of abelian groups was introduced and...
The Pinsker subgroup of an abelian group with respect to an endomorphism was introduced in the conte...
We study the endomorphisms ϕ of abelian groups G having a “small” algebraic entropy h (where “small”...
In this expository paper we describe a unifying approach for many known entropies in Mathematics. Fi...
For actions of m commuting endomorphisms of a torsion abelian group we compute the algebraic entropy...
Topological entropy is very well-understood for endomorphisms of compact Abelian groups. A fundament...
The new notion of adjoint algebraic entropy of endomorphisms of Abelian groups is introduced. Variou...
Recently the adjoint algebraic entropy of endomorphisms of abelian groups was introduced and studied...
The theory of endomorphism rings of algebraic structures allows, in a natural way, a systematic appr...
AbstractWe introduce the algebraic entropy for endomorphisms of arbitrary abelian groups, appropriat...
We introduce the algebraic entropy for endomorphisms of arbitrary abelian groups, appropriately modi...
The theory of endomorphism rings of algebraic structures allows, in a natural way, a systematic appr...
The notion of adjoint entropy for the endomorphisms of an Abelian group is somehow dual to that of a...
We show that the topological entropy of a continuous endomorphism of a compact abelian group coincid...
The new notion of intrinsic algebraic entropy (ent) over tilde of endomorphisms of Abelian groups is...
AbstractRecently the adjoint algebraic entropy of endomorphisms of abelian groups was introduced and...
The Pinsker subgroup of an abelian group with respect to an endomorphism was introduced in the conte...
We study the endomorphisms ϕ of abelian groups G having a “small” algebraic entropy h (where “small”...
In this expository paper we describe a unifying approach for many known entropies in Mathematics. Fi...
For actions of m commuting endomorphisms of a torsion abelian group we compute the algebraic entropy...
Topological entropy is very well-understood for endomorphisms of compact Abelian groups. A fundament...