https://github.com/pedritomelenas/arf-semigroups
Algortithms for Arf good semigroups
https://github.com/pedritomelenas/arf-semigroups
Last synced: about 1 month ago
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Algortithms for Arf good semigroups
- Host: GitHub
- URL: https://github.com/pedritomelenas/arf-semigroups
- Owner: pedritomelenas
- License: mit
- Created: 2017-01-30T09:36:57.000Z (over 8 years ago)
- Default Branch: master
- Last Pushed: 2019-03-13T10:58:51.000Z (about 6 years ago)
- Last Synced: 2025-02-14T14:18:18.164Z (3 months ago)
- Language: GAP
- Size: 808 KB
- Stars: 0
- Watchers: 2
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
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README
# Arf-semigroups
Algortithms for Arf good semigroups
These algorithms use the ideas by Giuseppe Zito (U Catania)
They will be part of the [GAP](http://www.gap-system.org) package [numericalsgps](http://www.gap-system.org/Packages/numericalsgps.html).
## Numerical semigroups
New implementations for
1. ArfNumericalSemigroupsWithGenus
1. ArfNumericalSemigroupsWithFrobeniusNumber
1. ArfNumericalSemigroupsWithGenusUpTo
1. ArfNumericalSemigroupsWithFrobeniusNumberUpTo
1. ArfCharactersOfArfNumericalSemigroup
## Arf good (local) semigroups
1. CompatibilityLevelOfMultiplicitySequences
2. TreeFromMultiplicitySequenceListAndRamificationMatrix
3. MultiplicityTreeToMultiplicitySequenceAndRamificationMatrix
4. AllArfTreesWithGivenCollectionOfMultiplicitySequences
5. SmallElementsFromMultiplicitySequenceListAndRamificationMatrix
6. ArfClosureOfSetOfVectors
7. ArfClosureOfGoodsemigroup
8. ArfCharactersOfMultiplicitySequenceListAndRamificationMatrix
9. UntwistedMultiplicityTreesWithConductor
10. MultiplicityTreesWithConductor
11. UntwistedMultiplicityTreesWithDimandGenus
12. MultiplicityTreesWithDimandGenus
13. UntwistedMultiplicityTreesWithGenus
14. MultiplicityTreesWithGenus
## Some drawing functions
1. treeToDot
1. splashTree
1. htmlTrees
## References
1. G. Zito, "Arf good semigroups", to appear in Journal of Algebra and its Applications (2018)
2. G. Zito, "Arf good semigroups with fixed conductor", preprint, arXiv:1802.00809 (2018)
3. G. Zito, "Arf good semigroups with fixed genus", preprint, arXiv:1802.02897 (2018)