OPENED MODULAR NUMERICAL SEMIGROUPS WITH A GIVEN MULTIPLICITY

被引：1

作者：

Rosales, J. C. ^{[1
]}

Vasco, P. ^{[2
]}

机构：

[1] Univ Granada, Dept Algebra, E-18071 Granada, Spain

[2] Univ Tras Montes & Alto Douro, Dept Matemat, P-5001801 Vila Real, Portugal

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2009年 / 19卷 / 02期

关键词：

Numerical semigroup; opened modular; multiplicity; Frobenius number; DIOPHANTINE INEQUALITIES;

D O I：

10.1142/S0218196709005056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N be the set of nonnegative integers and let I be an interval of positive rational numbers. Then S(I) = {x is an element of N vertical bar x/y is an element of I for some y is an element of N\{0}} boolean OR {0} is a numerical semigroup. In this paper we study the multiplicity of the numerical semigroups of the form {x is an element of N vertical bar b/a < x/y < b/a-1 a-1 for some y. N\{0}} boolean OR {0}, where a and b are integers such that 2 = a < b. We also see the connection between the multiplicity and the Frobenius number of this type of semigroups.

引用

页码：235 / 246

页数：12

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