GENERALIZATIONS OF -LIFTING MODULES

In this paper we introduce the notions of G 1L-module and G 2L-modulewhich are two proper generalizations of -lifting modules. We give some character-izations and properties of these modules. We show that a G 2L-module decomposesinto a semisimple submodule M1 and a submodule M2 of M such that every non-zerosubmodule of M2 contains a non-zero s -cosingular submodule.

Keywords:

-cosingular , non- -cosingular , G1L-module , G2L-module