Generalized Reynolds ideals for non-symmetric algebras

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


Preprint series: 06-12, Preprints

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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Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster