Page 1
Ibrahim Assem (2009)
Colloquium Mathematicae
We define a notion of left section in an Auslander-Reiten component, by weakening one of the axioms for sections. We derive a generalisation of the Liu-Skowroński criterion for tilted algebras, then apply our results to describe the Auslander-Reiten components lying in the left part of an artin algebra.
Zygmunt Pogorzały (2005)
Open Mathematics
Bimodules over triangular Nakayama algebras that give stable equivalences of Morita type are studied here. As a consequence one obtains that every stable equivalence of Morita type between triangular Nakayama algebras is a Morita equivalence.
Clezio A. Braga, Flávio U. Coelho (2009)
Colloquium Mathematicae
We study the problem of when a direct limit of tilting modules is still a tilting module.
José Luis Bueso Montero, Pascual Jara Martínez (1992)
Publicacions Matemàtiques
The aim of this paper is to establish the close connection between prime ideals and torsion theories in a non necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in terms of prime ideals. Using the machinery introduced before, we prove a version of the Mayer-Vietoris Theorem for local cohomology and establish a relationship between the classical dimension and the vanishing of the groups of local cohomology...
Page 1