Generalized Reynolds ideals for non-symmetric algebras
Christine Bessenrodt, Thorsten Holm, Alexander Zimmermann
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.
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