Categorical properties of some algorithms of differentiation for equipped posets

I. D. M. Gaviria, A. M. Cañadas


In this paper it is proved that the algorithms of differentiation VIII-X (introduced by A.G. Zavadskij to classify equipped posets of tame representation type) induce categorical equivalences between some quotient categories, in particular, an algorithm \(A_{z}\) is introduced to build equipped posets with a pair of points \((a, b)\) suitable for differentiation VII such that the subset of strong points related with the weak point \(a\) is not empty.


algorithm of differentiation, Auslander-Reiten quiver, categorical equivalence, equipped poset, poset representation

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