La tesis está organizada en doce capítulos, divididos en cinco partes. La Parte I comprende
los primeros tres capítulos. En el Capítulo 1 damos una breve introducción a la teoría de las …

The Pinsker subgroup of an abelian group G with respect to an endomorphism φ of G was
introduced in the context of algebraic entropy. Motivated by the nice properties and …

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 …

Let R be a ring, let G be an amenable group and let R* GR∗ G be a crossed product. The
goal of this paper is to construct, starting with a suitable additive function L on the category of …

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 …

We investigate algebraic $\mathbb Z^ d $-actions of entropy rank one, namely those for
which each element has finite entropy. Such actions can be completely described in terms of …

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 …

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 of …

Let R be a ring, let G be a countable amenable group and let RG be a crossed product. The
goal of this paper is to construct, starting with a suitable length function L on the category of …

We show that many algebraic actions of higher-rank abelian groups on zero-dimensional
compact abelian groups are mutually disjoint. The proofs exploit differences in the entropy …