Author/Authors :
Talebi، Yahya نويسنده Department of Mathematics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran , , Hosseinpour، Mehrab نويسنده Department of Mathematics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran ,
Abstract :
In this paper we introduce the notions of G
1L-module and G
2L-module
which are two proper generalizations of -lifting modules. We give some character-
izations and properties of these modules. We show that a G
2L-module decomposes
into a semisimple submodule M1 and a submodule M2 of M such that every non-zero
submodule of M2 contains a non-zero -cosingular submodule.
