Abstract

RODRIGUEZ BELTRAAN, CLAUDIO  and  ZAVADSKIJ, ALEXANDER G.. On corepresentations of equipped posets and their differentiation. Rev.colomb.mat. [online]. 2007, vol.41, suppl.1, pp.117-142. ISSN 0034-7426.

Corepresentations of equipped posets over the pair (F;G) are introduced and studied, where F ⊂ G F Ì G is a quadratic field extension. The reduction algorithms and Completion for corepresentations (being in some intuitive sense dual to the known algorithms VII and Completion for representations) are built and investigated, with some applications. The generalized short versions of Differentiations VII and for representations and corepresentations of equipped posets with additional relations are described.

Keywords : equipped poset; representation; corepresentation; matrix problem of mixed type; differentiation functor.

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