@article {
author = {Alagöz, Y. and Durğun, Y.},
title = {Strongly noncosingular modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {999-1013},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {An R-module M is called strongly noncosingular if it has no nonzero Rad-small (cosingular) homomorphic image in the sense of Harada. It is proven that (1) an R-module M is strongly noncosingular if and only if M is coatomic and noncosingular; (2) a right perfect ring R is Artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingular R-modules; (3)absolutely coneat modules are strongly noncosingular if and only if R is a right Max-ring and injective modules are strongly noncosingular; (4) a commutative ring R is semisimple if and only if the class of injective modules coincides with the class of strongly noncosingular R-modules.},
keywords = {coclosed submodules,(non) cosingular modules,coatomic modules},
url = {http://bims.iranjournals.ir/article_851.html},
eprint = {http://bims.iranjournals.ir/article_851_d18ecbcc8e8e4b588b255c42f726eb89.pdf}
}