Artinian dimension and isoradical of modules

被引：16

作者：

Facchini, Alberto ^{[1
]}

Nazemian, Zahra ^{[2
]}

机构：

[1] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

JOURNAL OF ALGEBRA | 2017年 / 484卷

关键词：

Artinian modules; Dimensions of modules; Chain conditions; RIGHT IDEALS; RINGS;

D O I：

10.1016/j.jalgebra.2017.03.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a continuation of our previous article [9]. We introduce an "artinian dimension" of modules, which allows us to study isoartinian modules, and an "isoradical" of a module, which is the analogue of the (Jacobson) radical of a module. We study the modules generated by isosimple submodules, and modules of finite I-length, which are analogous to modules of finite composition length. (c) 2017 Elsevier Inc. All rights reserved.

引用

页码：66 / 87

页数：22

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