Ideal Structure of the Kauffman and Related Monoids
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Publication:5489300
DOI10.1080/00927870600651414zbMath1103.47032OpenAlexW2105619816MaRDI QIDQ5489300
Kwok Wai Lau, D. G. Fitz-Gerald
Publication date: 25 September 2006
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://eprints.utas.edu.au/1407/1/IDEAL_Jones.pdf
Semigroups of transformations, relations, partitions, etc. (20M20) One-parameter semigroups and linear evolution equations (47D06)
Related Items (27)
Presentations for rook partition monoids and algebras and their singular ideals ⋮ Congruence Lattices of Ideals in Categories and (Partial) Semigroups ⋮ ON THE PARTITION MONOID AND SOME RELATED SEMIGROUPS ⋮ Identities of the Kauffman Monoid $$\mathcal {K}_4$$ and of the Jones Monoid $$\mathcal {J}_4$$ ⋮ ON A NEW APPROACH TO THE DUAL SYMMETRIC INVERSE MONOID $\mathcal{I}_{X}^{\ast}$ ⋮ Maximal subsemigroups of finite transformation and diagram monoids ⋮ Computing maximal subsemigroups of a finite semigroup ⋮ Congruence lattices of finite diagram monoids ⋮ Presentations for (singular) partition monoids: a new approach ⋮ Pseudovarieties generated by Brauer type monoids ⋮ Motzkin monoids and partial Brauer monoids ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ Brauer and Jones tied monoids ⋮ On groups generated by involutions of a semigroup. ⋮ DNA origami words, graphical structures and their rewriting systems ⋮ Identities of the Kauffman monoid K3 ⋮ Monoidal categories, representation gap and cryptography ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ Equational theories of semigroups with involution. ⋮ THE IDEMPOTENT-GENERATED SUBSEMIGROUP OF THE KAUFFMAN MONOID ⋮ Enumeration of idempotents in planar diagram monoids ⋮ Enumeration of idempotents in diagram semigroups and algebras ⋮ Generators and relations for partition monoids and algebras. ⋮ Unnamed Item ⋮ The finite basis problem for Kauffman monoids. ⋮ Classification of congruences of twisted partition monoids ⋮ Sandwich semigroups in diagram categories
Cites Work
- Regular * semigroups
- Self-adjunctions and matrices.
- Index for subfactors
- Kauffman Monoids
- An Invariant of Regular Isotopy
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
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