弱素子模的性质

Journal of Fundamental Mathematics and Applications (JFMA) Pub Date : 2021-11-30 DOI:10.14710/jfma.v4i2.12189

Puspa Nur Afifah, Ira Irawati

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摘要

设R是一个恒等交换环，M是一个一元R模。El-bast和Smith(1988)研究并引入了乘法模块。Ameri(2002)对质数子模块进行了研究。随后，Atani和Farzalipour(2007)将素子模推广到弱素子模。每篇论文都证明了一些性质。本文研究弱素子模的性质。

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CHARACTERIZATION OF WEAKLY PRIME SUBMODULE

Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have researched and introduced the multiplication module. Prime submodule has been studied by Ameri (2002). Then Atani and Farzalipour (2007) have extended the prime submodule to weakly prime submodule. Some properties were proved on each paper. This paper will study about characterization of weakly prime submodules.

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Journal of Fundamental Mathematics and Applications (JFMA)

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