Abstract
We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an Arf numerical semigroup. We also describe Arf numerical semigroups with fixed Frobenius number and multiplicity up to 7.
Original language | English |
---|---|
Article number | 1750209 |
Number of pages | 31 |
Journal | JOURNAL OF ALGEBRA AND ITS APPLICATIONS |
Volume | 16 |
Issue number | 11 |
DOIs | |
Publication status | Published - 2017 |
Keywords
- Arf
- Frobenius number
- genus
- integer partition
- Kunz coordinates
- multiplicity
- Numerical semigroup