A GENERALIZATION OF NOETHERIAN RINGS
A GENERALIZATION OF NOETHERIAN RINGS
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DOI：
10.11650/tjm.12.2008.590
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发表时间：
2008-01
影响因子：
0.4
通讯作者：
L. Mao
中科院分区：
文献类型：
--
作者：
L. Mao
本文引入了$AFG$环的概念。如果R$的每个非空子集的左零化子是一个R $生成的左理想，则称R$是左AFG$环。得到了$AFG$环的一些刻画及其应用
In this paper, we introduce the concept of $AFG$ rings. $R$ is said to be a left $AFG$ ring in case the left annihilator of every nonempty subset of $R$ is a finitely generated left ideal. Some characterizations of $AFG$ rings and applications are obtained