Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories

Crivei, Septimiu; KESKİN TÜTÜNCÜ, DERYA; Tribak, Rachid

doi:10.1080/00927872.2020.1721732

Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories

Crivei S., KESKİN TÜTÜNCÜ D., Tribak R.

COMMUNICATIONS IN ALGEBRA, cilt.48, sa.6, ss.2639-2654, 2020 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 48 Sayı: 6
Basım Tarihi: 2020
Doi Numarası: 10.1080/00927872.2020.1721732
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.2639-2654
Hacettepe Üniversitesi Adresli: Evet

Özet

We study the transfer via functors between abelian categories of the (dual) relative splitness of objects with respect to a fully invariant short exact sequence. We mainly consider fully faithful functors and adjoint pairs of functors. We deduce applications to Grothendieck categories, (graded) module categories and comodule categories.