TY - JOUR
T1 - A generalization of retractable modules
TT - تعمیمی از مدول های جمع شدنی
JF - khu-mmr
JO - khu-mmr
VL - 9
IS - 3
UR - http://mmr.khu.ac.ir/article-1-3240-en.html
Y1 - 2023
SP - 1
EP - 20
KW - retractable module
KW - singular module
KW - nonsingular module
N2 - Let R be an arbitrary ring and N be a right R-module. A right R-module M is called N-retractable if HomR(M,N')≠0, for any nonzero submodule N' of N. This is a generalization of the concept of retractable modules. The aim of this paper is to study of N-retractable modules, where N is an arbitrary right R-module. One of the most important results of this paper is the characterization of rings that have a module such that each module is retractable with respect to it. Also we show that the class of N-retractable modules is closed under direct sums and direct products.
M3
ER -