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A characterization of binomial Macaulay dual generators for complete intersections

Published 16 Mar 2025 in math.AC | (2503.12407v1)

Abstract: We characterize a binomial such that the Artinian algebra whose Macaulay dual generator is the binomial is a complete intersection. As an application, we prove that the Artinian algebra with a binomial Macaulay dual generator has the strong Lefschetz property in characteristic 0 if the Artinian algebra is a complete intersection.

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