戈伦斯坦复合体的平面维数

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2010-02-09 DOI:10.1215/KJM/1265899484

A. Iacob

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引用次数: 34

摘要

定义了左gf闭环上无界配合物的Gorenstein平面维数的概念。在Gorenstein环上，我们引入了一个关于配合物的Gorenstein同模的概念;我们还定义了Gorenstein环上配合物的广义Tate上同调，并证明了绝对上同调、Gorenstein上同调和广义Tate上同调之间存在着密切的联系。

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Gorenstein flat dimension of complexes

We define a notion of Gorenstein flat dimension for unbounded complexes over left GF-closed rings. Over Gorenstein rings we introduce a notion of Gorenstein coho- mology for complexes; we also define a generalized Tate cohomol- ogy for complexes over Gorenstein rings, and we show that there is a close connection between the absolute, the Gorenstein and the generalized Tate cohomology.

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.