Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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Author: search.filters.author.Pusat, DilekPublisher: search.filters.publisher.Hacettepe Üniversitesi

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  • Article
    Citation - WoS: 8
    Citation - Scopus: 8
    Modules Whose Maximal Submodules Are Supplements
    (Hacettepe Üniversitesi, 2010) Büyükaşık, Engin; Pusat, Dilek; Büyükaşık, Engin; Pusat, Dilek; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    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.