@article {
author = {Safaeeyan, S.},
title = {STRONGLY DUO AND CO-MULTIPLICATION MODULES},
journal = {Journal of Algebraic Systems},
volume = {4},
number = {1},
pages = {53-64},
year = {2016},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2016.728},
abstract = {Let R be a commutative ring. An R-module M is called co-multiplication provided that foreach submodule N of M there exists an ideal I of R such that N = (0 : I). In this paper weshow that co-multiplication modules are a generalization of strongly duo modules. Uniserialmodules of finite length and hence valuation Artinian rings are some distinguished classes ofco-multiplication rings. In addition, if R is a Noetherian ring, then R is a strongly duoring if and only if R is a co-multiplication ring. We also show that J-semisimple strongly duorings are precisely semisimple rings. Moreover, if R is a perfect ring, then uniserial R-modules are co-multiplication of finite length modules. Finally, we showthat Abelian co-multiplication groups are reduced and co-multiplication Z-modules(Abeliangroups)are characterized.},
keywords = {Co-multiplication modules,strongly duo modules,Abelian Groups},
url = {https://jas.shahroodut.ac.ir/article_728.html},
eprint = {https://jas.shahroodut.ac.ir/article_728_14be7a662ba6a73829b723a3c29433f9.pdf}
}