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

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
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