Dualities induced by right adjoint contravariant functors. (English) Zbl 1208.16013

Breaz, Simion; Pop, Flaviu

Stud. Univ. Babeș-Bolyai, Math. 55, No. 1, 75-84 (2010).

Summary: We characterize some dualities which are induced by pairs of contravariant functors which are adjoint on the right.

MSC:

16D90	Module categories in associative algebras
18A40	Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
16E30	Homological functors on modules (Tor, Ext, etc.) in associative algebras
18E10	Abelian categories, Grothendieck categories

Keywords:

contravariant functors; right adjoint functors; dualities; copresented modules