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A Koszul complex over skew polynomial rings
Authors:Josep Àlvarez Montaner  Alberto F Boix  Santiago Zarzuela
Institution:1. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain;2. Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel;3. Departament d’àlgebra i Geometria, Universitat de Barcelona, Barcelona, SpainDedicated to Professor Gennady Lyubeznik on the occasion of his 60th birthday.
Abstract:We construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence.
Keywords:Cartier algebras  Frobenius algebras  skew polynomial rings
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