Examinando por Materia "Conjuntos parcialmente ordenados"
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Ítem Conexión entre categorías de representaciones matriciales y vectoriales de conjuntos parcialmente ordenados.Zapata Puerto, Maria Alejandra; Siza Garcia, Raúl David; Cifuentes Vargas, VerónicaThe purpose of this monograph focuses on studying the relationship between the categories of matrix (MatP ) and vector (repP ) representations of partially ordered sets P . For this purpose, a maximal point is added to the poset P and the additive category of MatP is constructed, which allows the construction of transformations q that connect the category MatP to the additive category of MatP and a complete and dense functor H that relates the additive category of MatP to the vector category repP that preserves the type of representation and induces a categorical equivalenceÍtem Correspondecia entre poset y hamacasMosquera Ariza, Laura Yaniber; Quijano Morales, Kevin Stiven; Cifuentes Vargas, VerónicaIn 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.