Pure-direct-objects in categories: transfer via functors
Communications in Algebra, cilt.51, sa.9, ss.3916-3928, 1 (SCI-Expanded, Scopus)
- 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.