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Fully S-coidempotent modules
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2021-07-02 , DOI: 10.1142/s0219498822502024 F. Farshadifar 1 , H. Ansari-Toroghy 2
中文翻译:
完全 S-coidempotent 模块
更新日期:2021-07-02
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2021-07-02 , DOI: 10.1142/s0219498822502024 F. Farshadifar 1 , H. Ansari-Toroghy 2
Affiliation
Let be a commutative ring with identity, be a multiplicatively closed subset of , and be an -module. A submodule of is called coidempotent if . Also, is called fully coidempotent if every submodule of is coidempotent. In this paper, we introduce the concepts of -coidempotent submodules and fully -coidempotent -modules as generalizations of coidempotent submodules and fully coidempotent -modules. We explore some basic properties of these classes of -modules.
中文翻译:
完全 S-coidempotent 模块
让是一个具有恒等式的交换环,是一个乘法闭子集, 和豆-模块。一个子模块的称为协幂,如果. 还,如果每个子模块称为完全协幂是协幂的。在本文中,我们介绍了-coidempotent 子模块和完全- 共幂-模块作为协幂子模块和完全协幂的泛化-模块。我们探索这些类的一些基本属性-模块。