Lifting Grobner bases from the exterior algebra

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dc.creatorNilsson, Andreas
dc.creatorSnellman, Jan
dc.date2000-10-12
dc.date2000-10-18
dc.date.accessioned2026-07-07T04:37:58Z
dc.date.available2026-07-07T04:37:58Z
dc.descriptionIn the article "Non-commutative Grobner bases for commutative algebras", Eisenbud-Peeva-Sturmfels proved a number of results regarding Grobner bases and initial ideals of those ideals in the free associative algebra which contain the commutator ideal. We prove similar results for ideals which contains the anti-commutator ideal (the defining ideal of the exterior algebra). We define one notion of generic initial ideals in the free assoicative algebra, and show that gin's of ideals containing the commutator ideal, or the anti-commutator ideal, are finitely generated.
dc.description6 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0010117
dc.identifierhttp://arxiv.org/abs/math/0010117
dc.identifierCommunications in Algebra, vol 31, issue 12, 2003, pp 5715 - 5725
dc.identifierdoi:10.1081/AGB-120024850
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60106
dc.subjectCommutative Algebra
dc.subject16S15 (Primary) 13P10, 15A75 (Secondary)
dc.titleLifting Grobner bases from the exterior algebra
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