Complete intersections in binomial and lattice ideals (Q2854966)
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scientific article; zbMATH DE number 6219289
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete intersections in binomial and lattice ideals |
scientific article; zbMATH DE number 6219289 |
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24 October 2013
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complete intersection
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set theoretic complete intersection
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lattices ideals
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monomial curves
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evaluation codes
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toric ideals
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Complete intersections in binomial and lattice ideals (English)
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The authors study complete intersection and set theoretically complete intersection lattice ideals. The main result consists in proving that over a field of positive characteristic any graded lattice ideal of dimension 1 is set theoretically defined by binomials by using a result in [\textit{A. Katsabekis} et al., J. Algebra 324, No. 6, 1334--1346 (2010; Zbl 1207.14051)]. Also in characteristic zero they prove that for arbitary lattices a set theoretically complete intersection by binomials is in fact a complete intersection, this extends to arbitrary lattices a result in [\textit{M. Morales} and \textit{A. Thoma}, J. Algebra 284, No. 2, 755--770 (2005; Zbl 1076.13006)].
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