Nonnegative elements of subgroups of \(\mathbb{Z}^ n\)

DOI10.1016/S0024-3795(97)00309-1zbMath0890.15016MaRDI QIDQ1377517

José Carlos Rosales, Pedro A. García Sánchez

Publication date: 28 June 1998

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

zbMATH Keywords

linear diophantine equationsnonnegative integer solution

Mathematics Subject Classification ID

Matrices of integers (15B36) Linear equations (linear algebraic aspects) (15A06)

Related Items

Strongly taut finitely generated monoids. ⋮ Atoms of the set of numerical semigroups with fixed Frobenius number. ⋮ Primary ideals of finitely generated commutative cancellative monoids ⋮ Presentations of finitely generated cancellative commutative monoids and nonnegative solutions of systems of linear equations. ⋮ \(\mathbb N\)-solutions to linear systems over \(\mathbb Z\) ⋮ On normal affine semigroups ⋮ A characterization of arithmetical invariants by the monoid of relations. II: The monotone catenary degree and applications to semigroup rings.

Cites Work

• Generators and relations of abelian semigroups and semigroup rings
• A Sharp Bound for Solutions of Linear Diophantine Equations
• A Sharp Bound for Positive Solutions of Homogeneous Linear Diophantine Equations
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
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