Hilbert functions and Betti numbers of reverse lexicographic ideals in the exterior algebra

Authors: MARILENA CRUPI, CARMELA FERRO'

Abstract: Let K be a field, V a K-vector space with basis e_1,...,e_n and let E be the exterior algebra of V. We study the class of reverse lexicographic ideals in E. We analyze the behaviour of their Hilbert functions and Betti numbers.

Keywords: Graded ring, exterior algebra, monomial ideal, minimal resolution

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