Baer-Kaplansky Classes in Grothendieck Categories and Applications


Crivei S., Tutuncu D. K.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.16, no.4, 2019 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 4
  • Publication Date: 2019
  • Doi Number: 10.1007/s00009-019-1368-0
  • Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded, Scopus

Abstract

We study Baer-Kaplansky classes in Grothendieck categories. We apply our results to functor categories, and discuss the transfer of the Baer-Kaplansky property to finitely accessible additive categories, exactly definable additive categories and categories sigma[M].