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On binomial complet...
On binomial complete intersections
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- Jonsson Kling, F. (författare)
- Stockholms Universitet, Sweden.
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- Lundqvist, S. (författare)
- Stockholms Universitet, Sweden.
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- Nicklasson, Lisa, 1988- (författare)
- Mälardalens universitet,Utbildningsvetenskap och Matematik,Università di Genova, Italy.
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Stockholms Universitet, Sweden Utbildningsvetenskap och Matematik (creator_code:org_t)
- Academic Press Inc. 2024
- 2024
- Engelska.
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Ingår i: Journal of Algebra. - : Academic Press Inc.. - 0021-8693 .- 1090-266X. ; 649, s. 12-34
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We consider homogeneous binomial ideals I=(f1,…,fn) in K[x1,…,xn], where fi=aixid−bimi and ai≠0. When such an ideal is a complete intersection, we show that the monomials which are not divisible by xid for i=1,…,n form a vector space basis for the corresponding quotient, and we describe the Macaulay dual generator in terms of a directed graph that we associate to I. These two properties can be seen as a natural generalization of well-known properties for monomial complete intersections. Moreover, we give a description of the radical of the resultant of I in terms of the directed graph.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Binomial ideal
- Complete intersection
- Macaulay's inverse system
- Resultant
- Term-rewriting
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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