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.
Graded ring, exterior algebra, monomial ideal, minimal resolution
CRUPI, MARILENA and FERRO', CARMELA
"Hilbert functions and Betti numbers of reverse lexicographic ideals in the exterior algebra,"
Turkish Journal of Mathematics: Vol. 36:
3, Article 3.
Available at: https://journals.tubitak.gov.tr/math/vol36/iss3/3