Modular Diophantine inequalities and some of their invariants.
type: Item
instance of: scholarly article
title: Modular Diophantine inequalities and some of their invariants.
zbMATH Open document ID: 1094.20037
author: N. E. Zubov
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2006-04-04T00:00:00Z
review text: This paper is devoted to a further study of modular Diophantine inequalities \(ax\bmod b\leq x\). The author describes an algorithm to compute a finite system of generators of the set \(S(a,b)\) of integer solutions of such an inequality. Furthermore, a full affine semigroup \(A(a,b)\) is associated to the numerical semigroup \(S(a,b)\). This provides a method to calculate a minimal system of generators of \(A(a,b)\) and consequently an upper bound for the imbedding dimension of \(S(a,b)\).
reviewed by: Robert F. Tichy
Mathematics Subject Classification ID: 20M14
Mathematics Subject Classification ID: 11D75
Mathematics Subject Classification ID: 20M05
zbMATH DE Number: 5017247
zbMATH Keywords: modular Diophantine inequalities
zbMATH Keywords: algorithms
zbMATH Keywords: finite systems of generators
zbMATH Keywords: full affine semigroups
zbMATH Keywords: numerical semigroups
zbMATH Keywords: imbedding dimension
zbMATH Keywords: Apéry sets
zbMATH Keywords: Frobenius numbers
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5017247