概括(R,S)-副模集合

Dian Ariesta Yuwaningsih, Syarifah Inayati
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引用次数: 1

摘要

设R和S是具有单位的交换环,M是(R,S)-模。如果M的每个理想I、理想J和(R,S)-子模N满足INJ⊆P意味着IMJ≾P或N \8838 P,则M的一个适当的(R,S)-子模块P被称为联合素数(R,S)子模块。在本文中,我们将给出联合素(R,S)-子模的一个推广的定义,即左弱联合素(R,S)子模。此外,我们还将给出左弱联合素数(R,S)-子模与联合素数之间关系的一些性质
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Suatu Generalisasi (R,S)-Submodul Prima Gabungan
Let R and S be commutative rings with unity and M be an (R,S)-module. A proper (R,S)-submodule P of M is called a jointly prime (R,S)-submodule if for each ideal I of R, ideal J of S, and (R,S)-submodule N of M satisfy INJ ⊆ P implies IMJ ⊆ P or N ⊆ P . In this paper, we will present the definition of one generalization of jointly prime (R,S)-submodules, that is called left weakly jointly prime (R,S)-submodules. Furthermore,we will show some properties about the relationship between left weakly jointly prime (R,S)-submodules and jointly prime
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