A Presentation of the Singular Part of the Symmetric Inverse Monoid#

DOI10.1080/00927870500542689zbMath1099.20029OpenAlexW2061567690MaRDI QIDQ5478683

James East

Publication date: 13 July 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870500542689

zbMATH Keywords

presentationssymmetric inverse semigroupssemigroups of mappings

Mathematics Subject Classification ID

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

Related Items (17)

Presentations for (singular) partition monoids: a new approach ⋮ Motzkin monoids and partial Brauer monoids ⋮ A subsemigroup of the rook monoid ⋮ Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set ⋮ Product decompositions of semigroups induced by action pairs ⋮ Infinite dual symmetric inverse monoids ⋮ Defining relations for idempotent generators in finite full transformation semigroups. ⋮ Semitransitive subsemigroups of the singular part of the finite symmetric inverse semigroup. ⋮ ON THE SINGULAR PART OF THE PARTITION MONOID ⋮ Generators and relations for partition monoids and algebras. ⋮ PRESENTATIONS FOR SINGULAR SUBSEMIGROUPS OF THE PARTIAL TRANSFORMATION SEMIGROUP ⋮ BRAIDS AND ORDER-PRESERVING PARTIAL PERMUTATIONS ⋮ A presentation for the singular part of the full transformation semigroup. ⋮ A symmetrical presentation for the singular part of the symmetric inverse monoid. ⋮ Presentations for subsemigroups of $PD_n$ ⋮ Presentation for the Partial Dual Symmetric Inverse Monoid ⋮ Partial transformation monoids preserving a uniform partition.

Cites Work

• Catalan monoids, monoids of local endomorphisms, and their presentations

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