Title of article
Opened modular numerical semigroups
Author/Authors
J.C. Rosales، نويسنده , , J.M. Urbano-Blanco، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
10
From page
368
To page
377
Abstract
We introduce the class of the opened modular numerical semigroups (for brevity, OM-semigroups) and obtain formulas for the Frobenius number, the singularity degree and the type of these semigroups. We prove that a numerical semigroup S has a Toms decomposition if and only if S is an intersection of OM-semigroups. We also characterize irreducible proportionally modular numerical semigroups in terms of OM-semigroups.
Keywords
Modular Diophantine inequality , Numerical semigroup , Frobenius number
Journal title
Journal of Algebra
Serial Year
2006
Journal title
Journal of Algebra
Record number
697817
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