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29 March 2024
 
  » arxiv » math.AC/0010117

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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
AffiliationTokyo) and Jan Snellman (Linkoping, Sweden
AbstractIn 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
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