{"title":"有限半简单(ss-)提升模块","authors":"F. Eryilmaz","doi":"10.53433/yyufbed.1143435","DOIUrl":null,"url":null,"abstract":"An $R-$module $N$ is named cofinitely semisimple lifting or briefly cofinitely $ss-$lifting if for each cofinite submodule $S$ of $N$, $N$ has a decomposition $N=U'\\oplus V$ such that $U'\\subseteq S$ and $S\\cap V\\subseteq Soc_{s}(V)$. In this study, equivalent conditions to this definition are given. In addition, the basic features of this concept defined in this article are examined.","PeriodicalId":386555,"journal":{"name":"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cofinitely Semisimple (ss-) Lifting Modules\",\"authors\":\"F. Eryilmaz\",\"doi\":\"10.53433/yyufbed.1143435\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An $R-$module $N$ is named cofinitely semisimple lifting or briefly cofinitely $ss-$lifting if for each cofinite submodule $S$ of $N$, $N$ has a decomposition $N=U'\\\\oplus V$ such that $U'\\\\subseteq S$ and $S\\\\cap V\\\\subseteq Soc_{s}(V)$. In this study, equivalent conditions to this definition are given. In addition, the basic features of this concept defined in this article are examined.\",\"PeriodicalId\":386555,\"journal\":{\"name\":\"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.53433/yyufbed.1143435\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53433/yyufbed.1143435","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An $R-$module $N$ is named cofinitely semisimple lifting or briefly cofinitely $ss-$lifting if for each cofinite submodule $S$ of $N$, $N$ has a decomposition $N=U'\oplus V$ such that $U'\subseteq S$ and $S\cap V\subseteq Soc_{s}(V)$. In this study, equivalent conditions to this definition are given. In addition, the basic features of this concept defined in this article are examined.