STRING NUMBERS OF ABELIAN GROUPS

被引：4

作者：

Giordano Bruno, Anna ^{[1
]}

Virili, Simone ^{[2
]}

机构：

[1] Univ Udine, Dipartimento Matemat & Informat, Via Sci 206, I-33100 Udine, Italy

[2] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Barcelona, Spain

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2012年 / 11卷 / 04期

关键词：

Abelian group; Hopfian group; hereditarily Hopfian group; string numbers; endomorphisms; ALGEBRAIC ENTROPY;

D O I：

10.1142/S0219498812501617

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：30

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