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Article overview
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Lifting Grobner bases from the exterior algebra | Andreas Nilsson
; Jan Snellman
; | Date: |
12 Oct 2000 | Journal: | Communications in Algebra, vol 31, issue 12, 2003, pp 5715 - 5725 DOI: 10.1081/AGB-120024850 | Subject: | Commutative Algebra MSC-class: 16S15 (Primary) 13P10, 15A75 (Secondary) | math.AC | Affiliation: | Tokyo) and Jan Snellman (Linkoping, Sweden | Abstract: | In 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. | Source: | arXiv, math.AC/0010117 | Services: | Forum | Review | PDF | Favorites |
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