TY - JOUR
AU - Kamil, Enas Mustafa
AU - Khalid, Wasan
PY - 2019/02/28
Y2 - 2022/01/19
TI - On µ-lifting Modules
JF - Iraqi Journal of Science
JA - eijs
VL - 60
IS - 2
SE - Mathematics
DO -
UR - https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/627
SP - 371-380
AB - Let R be a ring with identity and let M be a left R-module. M is called µ-lifting modulei f for every sub module A of M, There exists a direct summand D of M such that M = D D', for some sub module D' of M such that A≤D and A D'<<µ D'. The aim of this paper is to introduce properties of µ-lifting modules. Especially, we give characterizations of µ-lifting modules. On the other hand, the notion of amply µ-supplemented iis studied as a generalization of amply supplemented modules, we show that if M is amply µ-supplemented such that every µ-supplement sub module of M is a direct summand, then M is µ-lifting module. Finally, we give some conditions under which the quotient and direct sum of µ-lifting modules is µ-lifting.
ER -