关于分级2-吸收共初级模

IF 0.4 Q4 MATHEMATICS

Missouri Journal of Mathematical Sciences Pub Date : 2021-01-27 DOI:10.35834/2022/3402174

M. Bataineh, R. Abu-Dawwas

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引用次数: 0

摘要

本文的目的是引入分次强2-吸收共主子模的概念，作为分次强-2-吸收第二子模的推广，并探讨这一类的一些性质。分次R-模M的一个非零分次R-子模N称为分次2-吸收共主R-子模，如果当x，y是R的齐次元素，并且K是M的分次R-子模，使得xyN⊆K，则x或y在（K:RN）或xy∈AnnR（N）的分次根中。已经取得了一些成果。

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ON GRADED 2-ABSORBING COPRIMARY SUBMODULES

The aim of this article is to introduce the concept of graded 2absorbing coprimary submodules as a generalization of graded strongly 2-absorbing second submodules, and explore some properties of this class. A non-zero graded R-submodule N of a graded R-moduleM is called a graded 2-absorbing coprimary R-submodule if whenever x, y are homogeneous elements of R and K is a graded R-submodule of M such that xyN ⊆ K, then either x or y is in the graded radical of (K :R N) or xy ∈ AnnR(N). Several results have been achieved.

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来源期刊

Missouri Journal of Mathematical Sciences MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Missouri Journal of Mathematical Sciences (MJMS) publishes well-motivated original research articles as well as expository and survey articles of exceptional quality in mathematical sciences. A section of the MJMS is also devoted to interesting mathematical problems and solutions.