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.

DOI

10.3906/mat-1102-21

Keywords

Graded ring, exterior algebra, monomial ideal, minimal resolution

First Page

366

Last Page

375

Recommended Citation

CRUPI, M, & FERRO', C (2012). Hilbert functions and Betti numbers of reverse lexicographic ideals in the exterior algebra. Turkish Journal of Mathematics 36 (3): 366-375. https://doi.org/10.3906/mat-1102-21

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