Abstract | ||
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For the family of graded lattice ideals of dimension 1, we establish a complete intersection criterion in algebraic and geometric terms. In positive characteristic, it is shown that all ideals of this family are binomial set-theoretic complete intersections. In characteristic zero, we show that an arbitrary lattice ideal which is a binomial set-theoretic complete intersection is a complete intersection. |
Year | DOI | Venue |
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2013 | 10.1142/S0218196713500288 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
Complete intersections, lattice ideals, binomial ideals, evaluation codes, monomial curves, toric ideals, vanishing ideals | Discrete mathematics,Fractional ideal,Algebraic number,Lattice (order),Complete intersection,Binomial,Boolean prime ideal theorem,Mathematics | Journal |
Volume | Issue | ISSN |
23 | 6 | 0218-1967 |
Citations | PageRank | References |
2 | 0.48 | 5 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hiram H. López | 1 | 20 | 4.81 |
Rafael H. Villarreal | 2 | 75 | 15.69 |