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Title: Extensions of weakly supplemented modules
Authors: Alizade, Rafail
Büyükaşık, Engin
Alizade, Rafail
Büyükaşık, Engin
Keywords: Weakly supplemented modules
Issue Date: 2008
Publisher: Mathematica Scandinavica
Source: Alizade, R., and Büyükaşık, E. (2008). Extensions of weakly supplemented modules. Mathematica Scandinavica, 103(2), 161-168.
Abstract: It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U are weakly supplemented then M need not be weakly supplemented). We prove that, if U has a weak supplement in M then M is weakly supplemented. For a commutative ring R, we prove that R is semilocal if and only if every direct product of simple R-modules is weakly supplemented.
ISSN: 0025-5521
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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