AU - beyranvand, reza
AU - moradi, fatemeh
TI - A generalization of retractable modules
PT - JOURNAL ARTICLE
TA - khu-mmr
JN - khu-mmr
VO - 9
VI - 3
IP - 3
4099 - http://mmr.khu.ac.ir/article-1-3240-en.html
4100 - http://mmr.khu.ac.ir/article-1-3240-en.pdf
SO - khu-mmr 3
ABĀ - 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.
CP - IRAN
IN -
LG - eng
PB - khu-mmr
PG - 1
PT - S
YR - 2023