Title of article :
E-LIFTING MODULES RELATIVE TO FULLY INVARIANT SUBMODULES
Author/Authors :
alizadeh, fatemeh babol university of tech nology - faculty of basic sciences - department of mathematics, Babol, iran , hosseinpour, mehrab university of mazandaran - faculty of mathematical sciences - department of mathematics, Babolsar, Iran , kamali, zahra babol university of tech nology - faculty of basic sciences - department of mathematics, Babol, iran
Abstract :
In this paper, we introduce the notion FI-e-lifting modules which is proper generalization of lifting (e-lifting) mod ules. Then we give some characterizations and properties of e-lifting and FI-e-lifting modules. We provide a decomposition of any e-lifting modules. It is shown that every finite direct sum of FI-e-lifting modules is FI-e-lifting.
Keywords :
e , small submodules , e , lifting modules , FI , e , lifting modules
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics
