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Gorenstein triangular matrix rings and category algebras (1412.8278v1)
Published 29 Dec 2014 in math.RT
Abstract: We give conditions on when a triangular matrix ring is Gorenstein of a given selfinjective dimension. We apply the result to the category algebra of a finite EI category. In particular, we prove that for a finite EI category, its category algebra is 1-Gorenstein if and only if the given category is free and projective.
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