Mohammed Qader Rahman, Alaa A. Elewi, Mustafa Mohammed Hameed
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引用次数: 0
摘要
让 R 是一个包含一个单元的交换环，让 是一个左 R 模块。我们将 R 模块 M 的一个适当子模块 N 定义为弱 2-prime 子模块，条件是：无论何时 ，则 或 。 这个概念是弱 2-prime 理想概念的扩展，其中，如果对于所有条件都蕴含 或 ，则 R 的理想 P 称为弱 2-prime 理想。 弱 2-prime 子模块的几个特征被考虑在内。
Let R be a commutative ring containing a unit, and let be a left R-module. We define a proper sub-module N of an R-module M to be a weakly 2-prime sub-module if whenever , then either or . This concept is an expansion of the idea of a weakly 2-prime ideal, where an ideal P of R is said to be a weakly 2-prime ideal if for all implies or . Several characteristics of sub-modules that are weakly 2-prime are taken into account.
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