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Non-Koszul quadratic Gorenstein toric rings

Published 2 Oct 2016 in math.AC | (1610.00260v2)

Abstract: Koszulness of Gorenstein quadratic algebras of small socle degree is studied. In this note, we construct non-Koszul Gorenstein quadratic toric ring such that its socle degree is more than 3 by using stable set polytopes.

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