Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4668
Title: Cofinitely weak supplemented modules
Authors: Alizade, Rafail
Büyükaşık, Engin
Alizade, Rafail
Büyükaşık, Engin
Izmir Institute of Technology. Mathematics
Keywords: Cofinite submodule
Cofinitely weak supplemented module
Finitely weak supplemented module
Issue Date: Nov-2003
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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