Identities of the Kauffman Monoid $$\mathcal {K}_4$$ and of the Jones Monoid $$\mathcal {J}_4$$

DOI10.1007/978-3-030-48006-6_12OpenAlexW2980544691MaRDI QIDQ5049049

Nikita V. Kitov, Mikhail V. Volkov

Publication date: 9 November 2022

Published in: Fields of Logic and Computation III (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09190

Mathematics Subject Classification ID

Logic in computer science (03B70) Theory of computing (68Qxx)

Related Items (6)

Identities of the Kauffman monoid K3 ⋮ Representations and identities of Baxter monoids with involution ⋮ Representations and identities of hypoplactic monoids with involution ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ Identities and bases in the Sylvester and Baxter monoids ⋮ Classification of congruences of twisted partition monoids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Motzkin monoids and partial Brauer monoids
• Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals
• Identity checking problem for transformation monoids
• Enumeration of idempotents in diagram semigroups and algebras
• Partition monoids and embeddings in 2-generator regular \(*\)-semigroups.
• Generators and relations for partition monoids and algebras.
• The finite basis problem for Kauffman monoids.
• Complexity of the identity checking problem for finite semigroups.
• Looking for identities on a bicyclic semigroup with computer assistance
• On the axiomatic rank of varieties generated by a semigroup or monoid with one defining relation
• Identities of a five-element \(0\)-simple semigroup
• Presentations for rook partition monoids and algebras and their singular ideals
• Congruence lattices of finite diagram monoids
• Identities in upper triangular tropical matrix semigroups and the bicyclic monoid
• Enumeration of idempotents in planar diagram monoids
• Index for subfactors
• Krohn-Rhodes complexity of Brauer type semigroups.
• Equational theories of semigroups with involution.
• Idempotents and one-sided units in infinite partial Brauer monoids
• The semigroup generated by the idempotents of a partition monoid.
• On presentations of Brauer-type monoids.
• Computational complexity of checking identities in 0-simple semigroups and matrix semigroups over finite fields
• \(\mathcal L\)- and \(\mathcal R\)-cross-sections in the Brauer semigroup.
• Examples of varieties of semigroups
• Complexity issues of checking identities in finite monoids
• Infinite partition monoids
• ON THE SINGULAR PART OF THE PARTITION MONOID
• ENDOMORPHISMS OF , , AND
• ON THE PARTITION MONOID AND SOME RELATED SEMIGROUPS
• Pseudovarieties generated by Brauer type monoids
• Polyhedral convex cones and the equational theory of the bicyclic semigroup
• Presentation of the singular part of the Brauer monoid
• Kauffman Monoids
• Presentations for (singular) partition monoids: a new approach
• Twisted Brauer monoids
• An Invariant of Regular Isotopy
• COMPLEXITY OF SEMIGROUP IDENTITY CHECKING
• ALGORITHMIC PROBLEMS IN VARIETIES
• Identities of the Kauffman monoid K3
• The complexity of the equivalence problem for nonsolvable groups
• THE IDEMPOTENT-GENERATED SUBSEMIGROUP OF THE KAUFFMAN MONOID
• THE PERKINS SEMIGROUP HAS CO-NP-COMPLETE TERM-EQUIVALENCE PROBLEM
• INTERPRETING GRAPH COLORABILITY IN FINITE SEMIGROUPS
• Ideal Structure of the Kauffman and Related Monoids

This page was built for publication: Identities of the Kauffman Monoid $$\mathcal {K}_4$$ and of the Jones Monoid $$\mathcal {J}_4$$