06-12
Generalized Reynolds ideals for non-symmetric algebras
by Bessenrodt, C.; Holm, T.; Zimmermann, A.
Preprint series: 06-12, Preprints
- MSC:
- 16G10 Representations of Artinian rings
- 18E30 Derived categories, triangulated categories
- 15A63 Quadratic and bilinear forms, inner products See mainly{ 11Exx}
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
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