| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594308 | Journal of Number Theory | 2011 | 10 Pages |
Abstract
In this paper, we characterize those numerical semigroups containing 〈n1,n2〉. From this characterization, we give formulas for the genus and the Frobenius number of a numerical semigroup. These results can be used to give a method for computing the genus and the Frobenius number of a numerical semigroup with embedding dimension three in terms of its minimal system of generators.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
