Coplexes in abelian categories

Flaviu Pop


Starting with a pair F:A-><-B:G of additive and contravariant functors which are adjoint on the right, between abelian categories, and with a class UU, we define the notion of (F,UU)-coplex, and considering an object U of A with F(U)=V projective object in B, we construct a natural duality between the category of all (F, add(U))-coplexes in A and the subcategory of B consisting in all objects in B which admit a projective resolution with all terms in the class add(V).


adjoint functors;duality;projective resolution;coplex

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