Degree and Algebraic Properties of Lattice and Matrix Ideals

DOI10.1137/130922094zbMath1334.13017arXiv1303.5382OpenAlexW2035682873MaRDI QIDQ4979847

Rafael H. Villarreal, Liam O'Carroll, Francesc Planas-Vilanova

Publication date: 19 June 2014

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5382

zbMATH Keywords

lattice idealLaplacian matricesmatrix idealGPCB idealgraded binomial idealPCB ideal

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials, factorization in commutative rings (13P05) Ideals and multiplicative ideal theory in commutative rings (13A15) Combinatorial aspects of commutative algebra (05E40)

Related Items (17)

Divisors on graphs, binomial and monomial ideals, and cellular resolutions ⋮ Binomial vanishing ideals ⋮ Minimal free resolutions of lattice ideals of digraphs ⋮ Minimum distance functions of graded ideals and Reed-Muller-type codes ⋮ Projective toric varieties of codimension 2 with maximal Castelnuovo-Mumford regularity ⋮ Minimal generating sets of lattice ideals ⋮ Arithmetical structures on graphs ⋮ Rational points of lattice ideals on a toric variety and toric codes ⋮ Sumsets and Veronese varieties ⋮ Polar degrees and closest points in codimension two ⋮ Evaluation codes and their basic parameters ⋮ Regularity and algebraic properties of certain lattice ideals ⋮ Generalized minimum distance functions ⋮ Codes over a weighted torus ⋮ Footprint and minimum distance functions ⋮ Generalized minimum distance functions and algebraic invariants of Geramita ideals ⋮ Principal matrices of numerical semigroups

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