STRINGS OF GROUP ENDOMORPHISMS-Reference-Cited by-同舟云学术

STRINGS OF GROUP ENDOMORPHISMS

Published:2010-12 Issue:06 Volume:09 Page:933-958
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

DIKRANJAN DIKRAN¹,GIORDANO BRUNO ANNA²,VIRILI SIMONE³

Affiliation:

1. Dipartimento di Matematica e Informatica, Università di Udine, Via delle Scienze, 206 - 33100 Udine, Italy

2. Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Trieste, 63 - 35121 Padova, Italy

3. Department de Matematiques, Universitat Autonoma de Barcelona, Edifici C - 08193, Bellaterra, Spain

Abstract

Recently the strings and the string number of self-maps were used in the computation of the algebraic entropy of specific abelian group endomorphisms. We introduce two special kinds of strings, and their relative string numbers. We show that a dichotomy holds for all these three string numbers; in fact, they admit only zero and infinity as values on abelian group endomorphisms.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498810004312

Reference7 articles.

1. Topological entropy

2. Algebraic Entropy of Shift Endomorphisms on Abelian Groups

3. Adjoint algebraic entropy

4. Algebraic entropy for Abelian groups

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