%0 Journal Article %T GENERALIZATIONS OF δ-LIFTING MODULES %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Talebi, Yahya %A Hosseinpour, Mehrab %D 2013 %\ 09/15/2013 %V 1 %N 1 %P 67-77 %! GENERALIZATIONS OF δ-LIFTING MODULES %K δ-cosingular %K non-δ-cosingular %K G∗L-module %R 10.22044/jas.2013.168 %X In this paper we introduce the notions of $G_{1}^{*}L$-module and $G_{2}^{*}L$-module which are two proper generalizations of $\delta$-lifting modules. We give some characterizations and properties of these modules. We show that a$G_{2}^{*}L$-module decomposes into a semisimple submodule $M_{1}$ and a submodule $M_{2}$ of $M$ such that every non-zero submodule of $M_{2}$ contains a non-zero $\delta$-cosingular submodule. %U https://jas.shahroodut.ac.ir/article_168_779f9060623194a54be4107cc9186779.pdf