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Generalized Reynolds ideals for non-symmetric algebras

Research paper by Christine Bessenrodt, Thorsten Holm, Alexander Zimmermann

Indexed on: 08 Mar '06Published on: 08 Mar '06Published in: Mathematics - Representation Theory



Abstract

We show how to extend the theory of generalized Reynolds ideals, as introduced by B. K"ulshammer, 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.