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https://hdl.handle.net/11147/4668
Title: | Cofinitely weak supplemented modules | Authors: | Alizade, Rafail Büyükaşık, Engin |
Keywords: | Cofinite submodule Cofinitely weak supplemented module Finitely weak supplemented module |
Publisher: | Taylor and Francis Ltd. | Source: | Alizade, R., and Büyükaşık, E. (2003). Cofinitely weak supplemented modules. Communications in Algebra, 31(11), 5377-5390. doi:10.1081/AGB-120023962 | Abstract: | We prove that a module M is cofinitely weak supplemented or briefly cws (i.e., every submodule N of M with M/N finitely generated, has a weak supplement) if and only if every maximal submodule has a weak supplement. If M is a cws-module then every M-generated module is a cws-module. Every module is cws if and only if the ring is semilocal. We study also modules, whose finitely generated submodules have weak supplements. | URI: | http://doi.org/10.1081/AGB-120023962 http://hdl.handle.net/11147/4668 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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