Pure-direct-objects in categories: transfer via functors

TOKSOY S. E.

Communications in Algebra, cilt.51, sa.9, ss.3916-3928, 1 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 9
  • Basım Tarihi: 1
  • Doi Numarası: 10.1080/00927872.2023.2190410
  • Dergi Adı: Communications in Algebra
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.3916-3928
  • Anahtar Kelimeler: C2-condition, comodule, D2-condition, Grothendieck category, module, pure-direct-injective object, pure-direct-projective object
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

We study transfer of pure-direct-objects via functors between Grothendieck categories. We consider fully faithful functors and adjoint pairs of functors. We give applications to module categories and comodule categories.