STRING NUMBERS OF ABELIAN GROUPS-Reference-Cited by-同舟云学术

STRING NUMBERS OF ABELIAN GROUPS

Published:2012-07-31 Issue:04 Volume:11 Page:1250161
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

BRUNO ANNA GIORDANO¹,VIRILI SIMONE²

Affiliation:

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

2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Edifici C - 08193 Bellaterra (Barcelona), Spain

Abstract

The string number of self-maps arose in the context of algebraic entropy and it can be viewed as a kind of combinatorial entropy function. Later on, its values for endomorphisms of abelian groups were calculated in full generality. We study its global version for abelian groups, providing several examples involving also Hopfian abelian groups. Moreover, we characterize the class of all abelian groups with string number zero in many cases and discuss its stability properties.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498812501617

Reference19 articles.

1. Topological entropy

2. Algebraic Entropy of Shift Endomorphisms on Abelian Groups

3. Algebraic Entropy of Generalized Shifts on Direct Products

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