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.
Titolo: | Algebraic invariants of graded ideals with a given Hilbert function in an exterior algebra |
Autori: | |
Data di pubblicazione: | 2015 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11570/3000569 |
Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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