| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4589013 | Journal of Algebra | 2006 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
