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Citation - WoS: 14
Citation - Scopus: 11
Extensions of Weakly Supplemented Modules
(Mathematica Scandinavica, 2008) Alizade, Rafail; Büyükaşık, Engin
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.

Mathematics / Matematik