Representaciones y corepresentaciones de posets 3-equipados
Authors
Dorado Correa, Ivon Andrea
Director
Zavadskyy, Oleksandr
Content type
Trabajo de grado - Doctorado
Document language
EspañolPublication date
2011
Journal Title
Journal ISSN
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Abstract
Se definen los posets 3-equipados, es decir conjuntos parcialmente ordenados equipados con tres tipos de relaciones binarias, y sus representaciones y corepresentaciones sobre una extensión cúbica inseparable de campos F С G, en característica 3. A través de los problemas matriciales determinados por dichas representaciones y corepresentaciones, se demuestra el criterio de un parámetro para posets 3-equipados, se establece la respectiva lista de posets sinceros, y se describen completamente, en forma matricial evidente, sus representaciones y corepresentaciones indescomponibles (Texto tomado de la fuente).
Abstract. We deffine 3-equipped posets, i.e. partially ordered sets equipped with three kinds of binary relations, and their representations and corepresentations over an inseparable cubic field extension F С G, in characteristic 3. Through the matrix problems determined by these representations and corepresentations, we proof the one-parameter criterion for 3-equipped posets, establish the respective list of sincere posets, and completely describe, in evident matrix form, their indecomposable representations and corepresentations.
Abstract. We deffine 3-equipped posets, i.e. partially ordered sets equipped with three kinds of binary relations, and their representations and corepresentations over an inseparable cubic field extension F С G, in characteristic 3. Through the matrix problems determined by these representations and corepresentations, we proof the one-parameter criterion for 3-equipped posets, establish the respective list of sincere posets, and completely describe, in evident matrix form, their indecomposable representations and corepresentations.
Abstract
Keywords
Poset 3-equipado ; Extensión cúbica de campos ; Representación ; Corepresentación ; Problema matricial ; Poset de un parámetro ; Poset sincero ; Clasificación de indescomponibles ; 3-equipped poset ; Cubic field extension ; Representation ; Corepresentation ; Matrix problem ; One-parameter poset ; Sincere poset ; Classification of indecomposables