Generalized Reynolds ideals for non-symmetric algebras

Mathematics – Representation Theory

Scientific paper

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9 pages

Scientific paper

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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