RT - Journal Article
T1 - A generalization of retractable modules
JF - khu-mmr
YR - 2023
JO - khu-mmr
VO - 9
IS - 3
UR - http://mmr.khu.ac.ir/article-1-3240-en.html
SP - 1
EP - 20
K1 - retractable module
K1 - singular module
K1 - nonsingular module
AB - 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.
LA eng
UL http://mmr.khu.ac.ir/article-1-3240-en.html
M3
ER -