Mathematics / Matematik

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

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Institution Author: search.filters.institutionAuthor.Pusat, DilekWoS Q: search.filters.wosQuartile.Q2

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  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Hereditary Rings With Countably Generated Cotorsion Envelope
    (Academic Press Inc., 2014) Guil Asensio, Pedro A.; Pusat, Dilek
    Let R be a left hereditary ring. We show that if the left cotorsion envelope C(RR) of R is countably generated, then R is a semilocal ring. In particular, we deduce that C(RR) is finitely generated if and only if R is a semiperfect cotorsion ring. Our proof is based on set theoretical counting arguments. We also discuss some possible extensions of this result.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 8
    Modules Whose Maximal Submodules Are Supplements
    (Hacettepe Üniversitesi, 2010) Büyükaşık, Engin; Pusat, Dilek
    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.