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
收藏
页码：66 / 87
页数：22
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