GENERALIZATIONS OF δ-LIFTING MODULES

Document Type : Original Manuscript

Authors

Department of Mathematics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran

Abstract

In this paper we introduce the notions of

G_{1}^{*} L

-module and

G_{2}^{*} L

-module which are two proper generalizations of

δ

-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}

M

such that every non-zero submodule of

M_{2}

contains a non-zero

δ

-cosingular submodule.

Keywords