- Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 28 Issue: 2
- Cofinitely Semisimple (ss-) Lifting Modules
Cofinitely Semisimple (ss-) Lifting Modules
Authors : Figen Eryilmaz
Pages : 424-431
Doi:10.53433/yyufbed.1143435
View : 16 | Download : 37
Publication Date : 2023-08-31
Article Type : Research Article
Abstract :An $P-$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.Keywords : Dual sonlu ss-yükseltilebilir modül, ss-tümlenmiş modül, Yarı basit modül