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Homotopies for the generalized bar complex associated to certain 3-rowed Weyl modules
(Taylor & Francis IncPhiladelphiaEUA, 2006)
Zariski cancellation problem for skew PBW extensions
(Bogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-06-19)
A special question for noncommutative algebras is Zariski cancellation problem. In this thesis we establish cancellation for some special classes of algebras such as skew PBW extensions, some Artin--Schelter regular algebras ...
Mutations in Brauer Configuration Algebras and Some of Its Cryptographic Applications
(Universidad nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2021)
Las mutaciones de las algebras de configuración de Brauer son exploradas y
estudiadas como herramientas para obtener soluciones para algunas generalizaciones del problema de los McNuggets de pollo junto con una exposici´on ...
Non-commutative differential calculus of some algebras of polynomial type having PBW bases
(Bogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-06-12)
In this work, we study the notion of differential calculus associated to an associative algebra, from its origin in manifolds geometry, to some generalizations in non commutative differential geometry. In particular, we ...
Some combinatorial topics in representation theory of algebras and its applications
(Departamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-02)
This thesis deals with a range of questions in combinatorial aspects of the representation theory of algebras and its applications. In particular, we provide a solution to the following problems:
1. How is it possible ...
ANALISE DA DINAMICA DE PARTICULAS BROWNIANAS INTERAGENTES A PARTIR DE REDES DE MAPAS ACOPLADOS
(UNIVERSIDADE ESTADUAL DE PONTA GROSSABRFisicaPrograma de Pós-Graduação em CiênciasUEPG, 2017)
The Auslander-Reiten Quiver of Equipped Posets of Finite Growth Representation Type, some Functorial Descriptions and Its Applications
(Bogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-05-18)
The theory of representation of partially ordered sets or posets was introduced in the early 1970's as an effort to give an answer to the second Brauer-Thrall conjecture. Recall that one of the main goals of this theory ...