On Representable Rings and Modules

被引：0
|
作者：
Mousavi, Seyed Ali [1 ]
Mirzaei, Fatemeh [1 ]
Nekooei, Reza [1 ]
机构：
[1] Shahid Bahonar Univ Kerman, Mahani Math Res Ctr, Dept Pure Math, Kerman, Iran
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2022年 / 62卷 / 03期
关键词：
Secondary modules; Secondary representation; Representable rings and modules; Laskerian rings and modules; Semiperfect rings; Artinian rings; Noethe-rian spectrum; Compactly packed rings; Q-rings; AB5* modules; Linearly compact mod-ules; LASKERIAN PROPERTY;
D O I：
10.5666/KMJ.2022.62.3.407
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we determine the structure of rings that have secondary repre-sentation (called representable rings) and give some characterizations of these rings. Also, we characterize Artinian rings in terms of representable rings. Then we introduce com-pletely representable modules, modules every non-zero submodule of which have secondary representation, and give some necessary and sufficient conditions for a module to be com-pletely representable. Finally, we define strongly representable modules and give some conditions under which representable module is strongly representable.
引用
收藏
页码：407 / 423
页数：17
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