On finitely generated submonoids of \(\mathbb{N}^ k\)

DOI10.1007/BF02573522zbMath0831.20080WikidataQ58843192 ScholiaQ58843192MaRDI QIDQ1346309

V. Pereyra

Publication date: 15 November 1995

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135384

zbMATH Keywords

algorithmssystem of linear equationscommutative monoidsfinitely generated monoidscancellative torsion-free reduced monoids

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Linear Diophantine equations (11D04)

Related Items

Algorithms and basic asymptotics for generalized numerical semigroups in \(\mathbb N^d\) ⋮ Presentations for subsemigroups of finitely generated commutative semigroups ⋮ Hereditarily finitely generated commutative monoids ⋮ Presentations of finitely generated cancellative commutative monoids and nonnegative solutions of systems of linear equations. ⋮ Defining ideals of semigroup rings which are gorenstein ⋮ \(\mathbb N\)-solutions to linear systems over \(\mathbb Z\) ⋮ On free affine semigroups ⋮ On normal affine semigroups ⋮ On The structure of cohen-macaulay simplical affine semigroups ⋮ On the number of factorizations of an element in an atomic monoid. ⋮ ON PRESENTATIONS OF COMMUTATIVE MONOIDS ⋮ Principal ideals of finitely generated commutative monoids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Subsemigroups of finitely generated groups with divisor-theory
• Generators and relations of abelian semigroups and semigroup rings
• Arithmetic and ideal theory of commutative semigroups
• The Value-Semigroup of a One-Dimensional Gorenstein Ring