Mathematics / Matematik

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

Browse

Filters

20141

Settings

Author: search.filters.author.Pusat, DilekPublisher: search.filters.publisher.Academic Press Inc.

Search Results

Now showing 1 - 1 of 1
  • 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.