We introduce the algebraic entropy for endomorphisms of arbitrary abelian groups,
appropriately modifying existing notions of entropy. The basic properties of the algebraic …

We introduce the algebraic entropy for endomorphisms of arbitrary abelian groups,
appropriately modifying existing notions of entropy. The basic properties of the algebraic …

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 …

The 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 …

The new notion of intrinsic algebraic entropy ent˜ of endomorphisms of Abelian groups is
introduced and investigated. The intrinsic algebraic entropy is compared with the algebraic …

The notion of entropy appears in many fields and this paper is a survey about entropies in
several branches of Mathematics. We are mainly concerned with the topological and the …

The 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 …

In this short note we study the entropy for algebraic actions of certain amenable groups. The
possible values for this entropy are studied. Various fundamental results about certain …

We introduce two notions of algebraic entropy for actions of cancellative right amenable
semigroups S on discrete abelian groups A by endomorphisms; they extend the classical …

We compute the joint entropy of d commuting automorphisms of a compact metrizable
group. Let R d= ℤ u 1±1,..., d 1±1 be the ring of Laurent polynomials in d commuting …