Let E be the exterior algebra over an n-dimensional vector space V. 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.
Algebraic invariants of graded ideals with a given Hilbert function in an exterior algebra
CRUPI, Marilena
2015-01-01
Abstract
Let E be the exterior algebra over an n-dimensional vector space V. 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.File in questo prodotto:
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