Cofinitely Semisimple (ss-) Lifting Modules


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ERYILMAZ F.

Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, cilt.28, sa.2, ss.424-431, 2023 (Hakemli Dergi) identifier

Özet

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 $Scap Vsubseteq Soc_{s}(V)$. In this study, equivalent conditions to this definition are given. In addition, the basic features of this concept defined in this article are examined.