%0 Journal Article
%A beyranvand, reza
%A moradi, fatemeh
%T A generalization of retractable modules
%J Mathematical Researches
%V 9
%N 3
%U http://mmr.khu.ac.ir/article-1-3240-en.html
%R
%D 2023
%K retractable module, singular module, nonsingular module,
%X 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.
%> http://mmr.khu.ac.ir/article-1-3240-en.pdf
%P 1-20
%& 1
%!
%9 S
%L A-10-1204-2
%+ Lorestan university
%G eng
%@ 2588-2546
%[ 2023