Algebraic invariants of graded ideals with a given Hilbert function in an exterior algebra

作者：Crupi Marilena^*

来源：Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 2015, 58(4): 393-403.

• Exterior algebra
• monomial ideals
• lexicographic ideals
• minimal resolutions
• standard invariants

Let E = K < e(1), ... , e(n)> be the exterior algebra over an n-dimensional vector space V with basis e(1), ... , e(n) over some field K. We introduce the universal lexsegment ideals in E and we devote our attention to their Hilbert function. Hence, we analyze the depth and the graded Betti numbers of a graded ideal with a given Hilbert function in E, via such a class of monomial ideals.

• 出版日期2015