@article {
author = {Talebi, Y. and Hosseinpour, M. and Moniri Hamzekolaee, A.R.},
title = {Modules for which every non-cosingular submodule is a summand},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {3},
pages = {911-922},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {A module $M$ is lifting if and only if $M$ is amply supplemented and every coclosed submodule of $M$ is a direct summand. In this paper, we are interested in a generalization of lifting modules by removing the condition"amply supplemented" and just focus on modules such that every non-cosingular submodule of them is a summand. We call these modules NS. We investigate some general properties of NS-modules. Several examples are provided to separate different concepts. It is shown that every non-cosingular NS-module is a direct sum of indecomposable modules. We also discuss on finite direct sums of NS-modules.},
keywords = {Non-cosingular submodule,amply supplemented module,NS-module},
url = {http://bims.iranjournals.ir/article_983.html},
eprint = {http://bims.iranjournals.ir/article_983_bb395f9f3798907e63a6206e886b8c18.pdf}
}