⊕-co-coatomically supplemented and co-coatomically semiperfect modules
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Date
2018
Authors
Rafail ALİZADE
Serpil GÜNGÖR
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Abstract
In this paper it is shown that a factor module of an ⊕-co-coatomically supplemented module is not in general ⊕-co-coatomically supplemented. If M is⊕-co-coatomically supplemented and U is a fully invariant submodule of M then M/U is ⊕-co-coatomically supplemented. A ring R is left perfect if and only if R(N) is an ⊕-co-coatomically supplemented R-module. A projective module M is co-coatomically semiperfect if and only if M is ⊕-co-coatomically supplemented. A ring is semiperfect if and only if every nitely generated free R-module is co-coatomically semiperfect.
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Matematik
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0101 mathematics, 01 natural sciences
Citation
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1
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Hacettepe Journal of Mathematics and Statistics
Volume
6
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