模上的局部幂零导数

Q2 Mathematics Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI:10.1215/KJM/1248983033

Mikiya Tanaka

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引用次数: 5

摘要

我们将环$B$上的一个局部幂零导数$\delta$推广到$B$-模$M$，并研究了这种$B$-模$M$的性质。结果表明，与Spec $B$相关的$G_a$的各种几何性质可以反映在$M$的性质上。

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Locally nilpotent derivations on modules

We extend a locally nilpotent derivation $\delta$ on a ring $B$ to $B$-modules $M$ and investigate the properties of such $B$-modules $M$. It turns out that the various geometric properties of the associated $G_a$-action on Spec $B$ can be reflected on the properties of $M$.

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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.