限制近主子模块

Haibat K.Mohammad ali, Khudhayer O.Khadem
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引用次数: 1

摘要

在本研究中,假定所有环都是非零单位元可交换的,并且所有模都是非零单位元。本文研究了约束近初生子模作为初生子模的新推广和近似初生子模的强形式的一些性质,并建立了约束近初生子模为初生的几个充分条件。并给出了近似初等为限制近初等的必要条件。此外,我们还给出了乘法模类中限制近初等子模的几个特征。
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Restrict Nearly Primary Submodules
In this work, all rings under consideration will be Supposedly to be commutative with nonzero identity and all modules will be nonzero unital. this work we investigate some properties of Restrict Nearly primary submodule as new generalization of primary sub module and strong form of Approximaitly primary submodule and stablished some sufficient conditions on Restrict Nearly primary to be primary. Also, we give necessarily condition on Approximaitly primary to be Restrict Nearly primary. In addition to we give several characterizations of Restrict Nearly primary submodule in class of multiplication modules.
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