阿提安环
数学
非交换环
诺瑟人
交换环
局部环
诺瑟环
纯数学
半单模
戒指(化学)
交换性质
主理想环
离散数学
域代数上的
化学
有机化学
出处
期刊:Mathematical proceedings of the Cambridge Philosophical Society
[Cambridge University Press]
日期:1992-01-01
卷期号:111 (1): 25-33
被引量:28
标识
DOI:10.1017/s0305004100075125
摘要
In 5, I provided a method whereby the study of an Artinian module A over a commutative ring R (throughout the paper, R will denote a commutative ring with identity) can, for some purposes at least, be reduced to the study of an Artinian module A' over a complete (Noetherian) local ring; in the latter situation, Matlis' duality 1 (alternatively, see 6, ch. 5) is available, and this means that the investigation can often be converted into a dual one about a finitely generated module over a complete (Noetherian) local ring.
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