Relative volumes and minors in monomial subrings.

DOI10.1016/S0024-3795(03)00612-8zbMath1051.52008MaRDI QIDQ1414164

José Martínez-Bernal, Cesar A. Escobar, Rafael H. Villarreal

Publication date: 19 November 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

lattice polytopeEhrhart ringrelative volumemonomial ring

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items (11)

ON THE VANISHING IDEAL OF AN ALGEBRAIC TORIC SET AND ITS PARAMETRIZED LINEAR CODES ⋮ Extremal Rees algebras ⋮ Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields ⋮ Computing the degree of a lattice ideal of dimension one ⋮ Rees cones and monomial rings of matroids ⋮ Rees algebras and polyhedral cones of ideals of vertex covers of perfect graphs ⋮ Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems ⋮ The equations of almost complete intersections ⋮ Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems ⋮ Normality of semigroups with some links to graph theory. ⋮ Normality criteria for monomial ideals

Uses Software

• Normaliz

Cites Work

• Hilbert functions of graded algebras
• On the ideal theory of graphs
• Dimension and multiplicity for graded algebras
• Introduction to Toric Varieties. (AM-131)
• Two theorems on matrices
• Monomial Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Relative volumes and minors in monomial subrings.