Journal of Algebraic Systems (Sep 2013)

GENERALIZATIONS OF δ-LIFTING MODULES

  • Yahya Talebi,
  • Mehrab Hosseinpour

DOI
https://doi.org/10.22044/jas.2013.168
Journal volume & issue
Vol. 1, no. 1
pp. 67 – 77

Abstract

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In this paper we introduce the notions of G∗L-module and G∗L-module whichare two proper generalizations of δ-lifting modules. We give some characteriza tions and properties of these modules. We show that a G∗L-module decomposesinto a semisimple submodule M1 and a submodule M2 of M such that every non-zero submodule of M2 contains a non-zero δ-cosingular submodule.

Keywords