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

{"title":"模上的局部幂零导数","authors":"Mikiya Tanaka","doi":"10.1215/KJM/1248983033","DOIUrl":null,"url":null,"abstract":"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 $M$.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"108 1","pages":"131-159"},"PeriodicalIF":0.0000,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Locally nilpotent derivations on modules\",\"authors\":\"Mikiya Tanaka\",\"doi\":\"10.1215/KJM/1248983033\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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 $M$.\",\"PeriodicalId\":50142,\"journal\":{\"name\":\"Journal of Mathematics of Kyoto University\",\"volume\":\"108 1\",\"pages\":\"131-159\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics of Kyoto University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1215/KJM/1248983033\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics of Kyoto University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1215/KJM/1248983033","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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 $M$.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.