English

Computing the degree of a lattice ideal of dimension one

Commutative Algebra 2024-02-07 v2 Information Theory Algebraic Geometry math.IT

Abstract

We show that the degree of a graded lattice ideal of dimension 1 is the order of the torsion subgroup of the quotient group of the lattice. This gives an efficient method to compute the degree of this type of lattice ideals.

Keywords

Cite

@article{arxiv.1206.1892,
  title  = {Computing the degree of a lattice ideal of dimension one},
  author = {Hiram H. Lopez and Rafael H. Villarreal},
  journal= {arXiv preprint arXiv:1206.1892},
  year   = {2024}
}

Comments

J. Symbolic Comput., to appear