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, ss.2639-2654, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 48 Konu: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/00927872.2020.1721732
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.2639-2654

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.