Modules Whose Maximal Submodules Are Supplements
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Authors
Büyükaşık, Engin
Pusat, Dilek
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Abstract
We study modules whose maximal submodules are supplements (direct summands). For a locally projective module, we prove that every maximal submodule is a direct summand if and only if it is semisimple and projective. We give a complete characterization of the modules whose maximal submodules are supplements over Dedekind domains.
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Keywords
Supplement submodule, Locally projective module
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Citation
Büyükaşık, E., and Pusat, D. (2010). Modules whose maximal submodules are supplements. Hacettepe Journal of Mathematics and Statistics, 39(4), 477-487.
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Volume
39
Issue
4
Start Page
477
End Page
487
