论偶数周期模块自扩展的消失

arXiv - MATH - Commutative Algebra Pub Date : 2024-08-05 DOI:arxiv-2408.02820

Ela Celikbas, Olgur Celikbas, Hiroki Matsui, Ryo Takahashi

{"title":"论偶数周期模块自扩展的消失","authors":"Ela Celikbas, Olgur Celikbas, Hiroki Matsui, Ryo Takahashi","doi":"arxiv-2408.02820","DOIUrl":null,"url":null,"abstract":"In this paper we study rigid modules over commutative Noetherian local rings,\nestablish new freeness criteria for certain periodic rigid modules, and extend\nseveral results from the literature. Along the way, we prove general Ext\nvanishing results over Cohen-Macaulay rings and investigate modules which have\nzero class in the reduced Grothendieck group with rational coefficients.","PeriodicalId":501475,"journal":{"name":"arXiv - MATH - Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the vanishing of self extensions of even-periodic modules\",\"authors\":\"Ela Celikbas, Olgur Celikbas, Hiroki Matsui, Ryo Takahashi\",\"doi\":\"arxiv-2408.02820\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study rigid modules over commutative Noetherian local rings,\\nestablish new freeness criteria for certain periodic rigid modules, and extend\\nseveral results from the literature. Along the way, we prove general Ext\\nvanishing results over Cohen-Macaulay rings and investigate modules which have\\nzero class in the reduced Grothendieck group with rational coefficients.\",\"PeriodicalId\":501475,\"journal\":{\"name\":\"arXiv - MATH - Commutative Algebra\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Commutative Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.02820\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Commutative Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.02820","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们研究了交换诺特局部环上的刚性模块，为某些周期性刚性模块建立了新的自由度标准，并扩展了文献中的若干结果。同时，我们还证明了科恩-麦考莱环上的一般 Extvanishing 结果，并研究了在有理系数的还原格罗滕迪克群中具有零类的模块。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On the vanishing of self extensions of even-periodic modules

In this paper we study rigid modules over commutative Noetherian local rings, establish new freeness criteria for certain periodic rigid modules, and extend several results from the literature. Along the way, we prove general Ext vanishing results over Cohen-Macaulay rings and investigate modules which have zero class in the reduced Grothendieck group with rational coefficients.

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

arXiv - MATH - Commutative Algebra

自引率

0.00%

发文量

期刊最新文献

Resolutions over strict complete resolutions Regularity of Koszul modules The Existence of MacWilliams-Type Identities for the Lee, Homogeneous and Subfield Metric The complete integral closure of a Prüfer domain is a topological property Ideals, representations and a symmetrised Bernoulli triangle