Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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Author: search.filters.author.Pusat, DilekSubject: search.filters.subject.Semilocal rings

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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
    Completely Cotorsion Modules
    (Publishing House of the Bulgarian Academy of Sciences, 2012) Pusat, Dilek
    We show that any finitely generated projective cotorsion left module over a ring of left pure global dimension at most 1 is a direct sum of indecomposable direct summands. We deduce that such a ring is left cotorsion and semiperfect if and only if its left cotorsion envelope is finitely presented. Some extensions of this result are also discussed.