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引用次数: 2
摘要
设G为恒等式为e的群,R为G阶环,M为G阶R模。在本文中,我们引入了梯度弱乘法模的概念。如果对于M的每一个分级素数r子模N,对于r的某些分级理想I, N = (0: m1),则一个分级r模M是分级弱乘法。
Let G be a group with identity e, R be a G-graded ring and M be a G-graded R-module. In this article, we introduce the concept of graded weak comultiplication modules. A graded R-module M is said to be graded weak comultiplication if for every graded prime R-submodule N of M , N = (0 :M I) for some graded ideal I of R. We study graded weak comultiplication modules and give several results.
期刊介绍:
The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.