Title
Complete Intersections In Binomial And Lattice Ideals
Abstract
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
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. López1204.81
Rafael H. Villarreal27515.69