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.

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 ...

We prove that the representation dimension of a tilted, or of a strict laura algebra, is at most three.

We show that the representation dimension of the following classes of algebras is at most 3: (a) Artin algebras A such that the functor HomA (D(A), -) has finite length (or dually, HomA (-, A) has finite length). These ...

In this paper we define and study the notion of a proper costratifying system, which is a generalization of the so-called proper costandard modules to the context of stratifying systems. The proper costandard modules were ...

Let Δ be a Dynkin diagram and k an algebraically closed field. Let A be an iterated tilted finite-dimensional k-algebra of type Δ and denote by  its repetitive algebra. We approach the problem of finding a combinatorial ...

Estudamos duas condições sob as quais a conjectura da dimensão finitística é válida. Primeiro, estudamos um artigo de K. Igusa e G. Todorov, que fornece uma condição simples que implica a finitude da pequena dimensão ...

In this paper we further study the notion of proper costratifying systems, defined in [MPV]. We give sufficient conditions for their existence, and investigate the relation between the stratifying systems defined by K. ...