Zurück zu den Preprints des Jahres 2006


2006-12

Generalized Reynolds ideals for non-symmetric algebras

by Bessenrodt, C., Holm, T., Zimmermann, A..


Series: 2006-12, Preprints

MSC:
16G10 Representations of Artinian rings
18E30 Derived categories, triangulated categories
15A63 Quadratic and bilinear forms, inner products

Abstract:
We show how to extend the theory of generalized Reynolds ideals, as introduced by B. Külshammer, from symmetric algebras to arbitrary finite-dimensional algebras
(in positive characteristic).
This provides new invariants of the derived module categories
of finite-dimensional algebras, extending recent results
by the third author for symmetric algebras.

Keywords:
Generalized Reynolds ideals; Derived equivalences; Trivial extensions; Symmetric algebras