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Identities of the kauffman monoid K4 and of the Jones Monoid J4
- Source :
- Lect. Notes Comput. Sci.; Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
- Publication Year :
- 2020
-
Abstract
- Kauffman monoids Kn and Jones monoids Jn, n=2,3,…, are two families of monoids relevant in knot theory. We prove a somewhat counterintuitive result that the Kauffman monoids K3 and K4 satisfy exactly the same identities. This leads to a polynomial time algorithm to check whether a given identity holds in K4. As a byproduct, we also find a polynomial time algorithm for checking identities in the Jones monoid J4. © Springer Nature Switzerland AG 2020.
Details
- Database :
- OAIster
- Journal :
- Lect. Notes Comput. Sci.; Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
- Notes :
- English
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1280534972
- Document Type :
- Electronic Resource