新版 P 平面模块及其应用

arXiv - MATH - Commutative Algebra Pub Date : 2024-07-25 DOI:arxiv-2407.17865

Wei Qi, Xiaolei Zhang

{"title":"新版 P 平面模块及其应用","authors":"Wei Qi, Xiaolei Zhang","doi":"arxiv-2407.17865","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce and study the class of $\\phi$-$w$-P-flat modules,\nwhich can be seen as generalizations of both $\\phi$-P-flat modules and\n$w$-P-flat modules. In particular, we obtain that the class of\n$\\phi$-$w$-P-flat modules is covering. We also utilize the class of\n$\\phi$-$w$-P-flat modules to characterize $\\phi$-von Neumann regular rings,\nstrong $\\phi$-rings and $\\phi$-PvMRs.","PeriodicalId":501475,"journal":{"name":"arXiv - MATH - Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new version of P-flat modules and its applications\",\"authors\":\"Wei Qi, Xiaolei Zhang\",\"doi\":\"arxiv-2407.17865\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce and study the class of $\\\\phi$-$w$-P-flat modules,\\nwhich can be seen as generalizations of both $\\\\phi$-P-flat modules and\\n$w$-P-flat modules. In particular, we obtain that the class of\\n$\\\\phi$-$w$-P-flat modules is covering. We also utilize the class of\\n$\\\\phi$-$w$-P-flat modules to characterize $\\\\phi$-von Neumann regular rings,\\nstrong $\\\\phi$-rings and $\\\\phi$-PvMRs.\",\"PeriodicalId\":501475,\"journal\":{\"name\":\"arXiv - MATH - Commutative Algebra\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-25\",\"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-2407.17865\",\"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-2407.17865","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，我们介绍并研究了$\phi$-$w$-P-flat 模块类，它们可以看作是$\phi$-P-flat 模块和$w$-P-flat 模块的一般化。特别是，我们得到$\phi$-$w$-P-flat 模块的类是覆盖的。我们还利用$\phi$-$w$-P-flat模块类来描述$\phi$-冯-诺依曼正则环、强$\phi$环和$\phi$-PvMRs。

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

A new version of P-flat modules and its applications

In this paper, we introduce and study the class of $\phi$-$w$-P-flat modules, which can be seen as generalizations of both $\phi$-P-flat modules and $w$-P-flat modules. In particular, we obtain that the class of $\phi$-$w$-P-flat modules is covering. We also utilize the class of $\phi$-$w$-P-flat modules to characterize $\phi$-von Neumann regular rings, strong $\phi$-rings and $\phi$-PvMRs.

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