Dergiler / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 3

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

Sayfa
366–375
DOI
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Özet

Let K be a field, V a K-vector space with basis e1,...,en 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.

Abstract

Let K be a field, V a K-vector space with basis e1,...,en 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.

Anahtar kelimeler: Graded ring, exterior algebra, monomial ideal, minimal resolution