Adjoint Functors, Projectivization, and Differentiation Algorithms for Representations of Partially Ordered Sets

Mathematics – Representation Theory

Scientific paper

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Revised version, accepted for publication by the Journal of Algebra

Scientific paper

Adjoint functors and projectivization in representation theory of partially
ordered sets are used to generalize the algorithms of differentiation by a
maximal and by a minimal point. Conceptual explanations are given for the
combinatorial construction of the derived set and for the differentiation
functor

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