BRAIDS AND ORDER-PRESERVING PARTIAL PERMUTATIONS

DOI10.1142/S0218216510008339zbMath1208.20048MaRDI QIDQ4930564

James East

Publication date: 29 September 2010

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

zbMATH Keywords

presentationsbraidssymmetric inverse monoidsinverse braid monoidsorder-preserving partial permutations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Inverse semigroups (20M18)

Related Items (4)

Presentations for rook partition monoids and algebras and their singular ideals ⋮ Congruence Lattices of Ideals in Categories and (Partial) Semigroups ⋮ Vines and partial transformations. ⋮ A symmetrical presentation for the singular part of the symmetric inverse monoid.

Cites Work

• The inverse braid monoid.
• Braids and partial permutations.
• Vines and partial transformations.
• Theory of braids
• PARTIALIZATION OF CATEGORIES AND INVERSE BRAID-PERMUTATION MONOIDS
• A Presentation of the Singular Part of the Symmetric Inverse Monoid^#
• PRESENTATIONS OF THE INVERSE BRAID MONOID
• The monoid of all injective order preserving partial transformations on a finite chain.

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