Data di Pubblicazione:
2005
Citazione:
On big tilting modules with a small orthogonal class / G. D'Este. ((Intervento presentato al convegno Some Trends in Algebra ' 05 tenutosi a Praha, Czech University of Agriculture nel 4 - 9 Settembre 2005.
Abstract:
We investigate bounded complexes T , with projective components, corresponding to partial tilting modules, say X , big enough to inherit from tilting modules a functorial condition on the kernels of all Hom and Ext functors.
As a consequence, theses modules X have the following property:
(+) Every simple module S occours as an epimorphic image of a submodule M of X .
Under suitable assumptions concerning
- the orthogonal class associated to X ;
- possible complements of X , as a direct summand of a tilting module;
property (+) implies that X satisfies the functorial Hom-Ext condition verified by tilting modules.
Finally,we construct more or less complicated indecomposable bounded complexes C , with projective components, such that any morphism from T to any shift complex C[i] is homotopic to zero.
Tipologia IRIS:
14 - Intervento a convegno non pubblicato
Keywords:
Orthogonal classes, tilting and partial tilting modules and complexes.
Elenco autori:
G. D'Este
Link alla scheda completa: