On the ring of inertial endomorphisms of an abelian group

被引：8

作者：

Dardano U. ^{[1
]}

Rinauro S. ^{[2
]}

机构：

[1] Dipartimento di Matematica e Applicazioni “R.Caccioppoli”, Università di Napoli “Federico II”, Via Cintia, Monte S. Angelo, Naples

[2] Dipartimento di Matematica, Informatica ed Economia, Università della Basilicata, Via dell’Ateneo Lucano 10, Potenza

来源：

Ricerche di Matematica | 2014年 / 63卷 / Suppl 1期

关键词：

Finitary Endomorphism; Finite; Fully inert subgroup; Inert;

D O I：

10.1007/s11587-014-0199-3

中图分类号：

学科分类号：

摘要：

An endomorphisms φ of an abelian group A is said inertial if each subgroup H of A has finite index in H+φ(H).We study the ring of inertial endomorphisms of an abelian group. We obtain a satisfactory description modulo the ideal of finitary endomorphisms. Also the corresponding problem for vector spaces is considered. © 2014, Università degli Studi di Napoli "Federico II".

引用

页码：103 / 115

页数：12

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