COMPLETE INTERSECTIONS IN BINOMIAL AND LATTICE IDEALS-Reference-Cited by-同舟云学术

COMPLETE INTERSECTIONS IN BINOMIAL AND LATTICE IDEALS

Published:2013-09 Issue:06 Volume:23 Page:1419-1429
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

LÓPEZ HIRAM H.¹,VILLARREAL RAFAEL H.¹

Affiliation:

1. Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados del IPN, Apartado Postal 14-740, 07000 Mexico City, D.F., Mexico

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196713500288

Reference26 articles.

1. The Horace Method for Error-Correcting Codes

2. Set-theoretic complete intersections on binomials

3. An algorithm for checking whether the toric ideal of an affine monomial curve is a complete intersection

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