Subalgebras that are Cyclic as Submodules.
We show that there is a one-to-one correspondence between basic cotilting complexes and certain contravariantly finite subcategories of the bounded derived category of an artin algebra. This is a triangulated version of a result by Auslander and Reiten. We use this to find an existence criterion for complements to exceptional complexes.
Si supponga che l'anello ammetta una decomposizione come prodotto subdiretto di anelli , tali che per si abbia (), e sia . Si scelga un -modulo (destro) che sia libero da torsione rispetto ad , cioè ; allora può essere rappresentato come prodotto subdiretto irridondante degli -moduli liberi da torsione rispetto ad . Si fa uno studio di un subprodotto generale di una classe di -moduli
Let A = kQ/I be a finite dimensional basic algebra over an algebraically closed field k presented by its quiver Q with relations I. A fundamental problem in the representation theory of algebras is to decide whether or not A is of tame or wild type. In this paper we consider triangular algebras A whose quiver Q has no oriented paths. We say that A is essentially sincere if there is an indecomposable (finite dimensional) A-module whose support contains all extreme vertices of Q. We prove that if...
Il est démontré que toute a.d.g.c. ayant un modèle minimal de Sullivan de type fini peut être représentée par une certaine algèbre de Lie différentielle graduée de dérivations. En particulier on peut ainsi représenter le type d’homotopie rationnelle d’un espace topologique.