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Álgebras seriais derivadamente mansas
(Universidade Federal de Minas GeraisBrasilPrograma de Pós-Graduação em MatemáticaUFMG, 2018-11-28)
The Tame-Wild Dichotomy for derived categories establish that every finite dimensional algebra over an algebrically closed eld is either derived tame or derived wild ([7], [16]). We proved that a left serial algebra is ...
N-Koszul algebras, Calabi-Yau algebras and skew PBW extensions
(2017-11-01)
Abstract. In the schematic approach to non-commutative algebraic geometry arises some important classes of non-commutative algebras like Koszul algebras, Artin-Schelter regular algebras, Calabi-Yau algebras, and closely ...
Uma introdução ao lema de Nakayama
(Universidade Federal do Rio Grande do NorteBrasilUFRNLicenciatura em MatemáticaCiências Exatas e Aplicadas, 2022-07-26)
This work aims at explaining and proving the Nakayama's lemma governing the interaction between the Jacobson radical of a ring (typically a commutative ring) and its finitely generated modules. To achieve this objective ...
Álgebras seriais truncadas, álgebras de incidência de posets e equivalências derivadas
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2021-03-26)
In this work we show that any truncated serial algebra is derived equivalent to an incidence algebra on a poset. We have used this result to generalize the result of Happel and Seidel about the classification of piecewise ...
Módulos de Zavadskij
(2017-03-31)
Los módulos de Zavadskij fueron introducidos por W. Rump [18], quien dio una generalización a órdenes generales del algoritmo de Zavadskij [27,29] respecto a una pareja conveniente de puntos. Se describe las principales ...
Algebra de Frobenius y nearly Frobenius para la categoría de adg
(UR.FC.CMAT, 2018)
El trabajo se centra en el estudio de la categoría de álgebras diferenciales graduadas de Frobenius. Esta categoría combina los conceptos de álgebras de Frobenius y de álgebras diferenciales graduadas. A los objetos de ...
Algebraic properties of weak quantum symmetries
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - MatemáticasFacultad de CienciasBogotá,ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2023-07-24)
This thesis investigates the properties of weak bialgebras and weak Hopf algebras, their (co)representations, and applications in groupoids, path algebras, and Lie algebroids. The research employs algebraic and categorical ...