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On the Derived Categories and Quasitilted Algebras
(SPRINGER, 2009)
In this paper, we present some results on the bounded derived category of Artin algebras, and in particular on the indecomposable objects in these categories, using homological properties. Given a complex X*, we consider ...
On the radical of the module category of an endomorphism algebra
(Springer, 2020-06)
Given a finite dimensional algebra A over an algebraically closed field we study the relationship between the powers of the radical of a morphism in the module category of the algebra A and the induced morphism in the ...
Global dimensions for endomorphism algebras of tilting modules
(Springer, 2000-10)
Let Λ be an Artin algebra of finite global dimension and let T be a tilting module over Λ . We develop bounds for the global dimension of the endomorphism algebra Γ of T in terms of homological data of T.
The radical of a module category of string algebra
(Taylor, 2017-05)
We study how to read from the ordinary quiver of a representation-finite string algebra, the minimal lower bound m ≥ 1 such that the mth power of the radical of its module category vanishes. We also show how to read the ...
Bounds of Gelfand-Tsetlin multiplicities and tableaux realizations of Verma modules
(Academic Press Inc Elsevier Science, 2020-08)
We introduce the notion of essential support of a simple Gelfand-Tsetlin gln-module as an attempt to understand the character formula of such module. This support detects the weights having maximal possible Gelfand-Tsetlin ...
Módulos tau-inclinantes su comportamiento bajo álgebras extendidas y la dimensión global de su anillo de endomorfismos
(2018-03-19)
En esta tesis, consideraremos álgebras de dimensión finita sobre un cuerpo algebraicamentecerrado.Uno de los objetivos de este trabajo es estudiar el comportamiento de los módulosτ -inclinantes bajo ciertas extensiones de ...
Sobre representaciones de ciertas álgebras de transformación
(2010-06)
Se considera el problema de representaciones de álgebras de trasformación como una generalización del problema clásico de representaciones de posets ordinarios y de órdenes tejados. Además, consideramos la conjetura de ...