A Note on ⊕ -Cofinitely Supplemented Modules

Yongduo Wang and Qing Sun

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-5

Abstract:

Let R be a ring and M a right R -module. In this note, we show that a quotient of an ⊕ -cofinitely supplemented module is not in general ⊕ -cofinitely supplemented and prove that if a module M is an ⊕ -cofinitely supplemented multiplication module with Rad ( M ) ≪ M , then M can be written as an irredundant sum of local direct summand of M . An extension of the result of Calisici and Pancar [1], here it is shown that an arbitrary module is cofinitely semiperfect if and only if it is an (amply) cofinitely supplemented by supplements which have projective covers.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:010836

DOI: 10.1155/2007/10836

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