### Coplexes in abelian categories

#### Abstract

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).

#### Keywords

adjoint functors;duality;projective resolution;coplex

#### Full Text:

PDF#### References

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DOI: http://dx.doi.org/10.24193/subbmath.2017.0001

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