Correspondecia entre poset y hamacas

Abstract

In this paper we present the relation between partially ordered sets and incidence algebras, which is visible in the construction of the Auslander-Reiten quiver. algebras, which is visible in the construction of the Auslander-Reiten quiver. For this purpose, the following concepts will be used concepts such as: category of representations, subcategory of projective socket modules, exact short successions, thus arriving at the object of the work, the hammocks, which are defined and exposed by Auslander-Reiten. which are defined and exposed by Brenner in [7]. This result will be reconstructed from the proof of Theorem 2 in [1]. of Theorem 2 in [1] showing the bijective correspondence between the class of isomorphisms of partially ordered sets with representation of partially ordered sets with finite type representation and the class of hammock isomorphisms.