{"title":"戈伦斯坦投影模块和弱戈伦斯坦平面模块","authors":"Jun Dong, Jie Wei","doi":"10.1080/00927872.2024.2395988","DOIUrl":null,"url":null,"abstract":"Let R be a ring such that all flat R-modules have finite strongly FP-injective dimension. We obtain that the class of all Gorenstein projective modules forms a left-hand class of complete and hered...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"8 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Gorenstein projective and weak Gorenstein flat modules\",\"authors\":\"Jun Dong, Jie Wei\",\"doi\":\"10.1080/00927872.2024.2395988\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let R be a ring such that all flat R-modules have finite strongly FP-injective dimension. We obtain that the class of all Gorenstein projective modules forms a left-hand class of complete and hered...\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2395988\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2395988","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
假设 R 是一个环，所有平 R 模块都具有有限的强 FP 注入维度。我们得到，所有戈伦斯坦射影模块的类构成了一个完整且有嗣的左手类。
Gorenstein projective and weak Gorenstein flat modules
Let R be a ring such that all flat R-modules have finite strongly FP-injective dimension. We obtain that the class of all Gorenstein projective modules forms a left-hand class of complete and hered...
期刊介绍：
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry
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