A presentation for the singular part of the full transformation semigroup.

DOI10.1007/S00233-010-9250-1zbMath1207.20058OpenAlexW2086732401MaRDI QIDQ711612

James East

Publication date: 27 October 2010

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-010-9250-1

zbMATH Keywords

presentationstransformation semigroupspartial transformationssingular parts

Mathematics Subject Classification ID

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

Related Items (12)

Ranks and presentations for order-preserving transformations with one fixed point ⋮ The semigroup generated by the idempotents of a partition monoid. ⋮ Presentations for (singular) partition monoids: a new approach ⋮ Product decompositions of semigroups induced by action pairs ⋮ Defining relations for idempotent generators in finite full transformation semigroups. ⋮ Defining relations for idempotent generators in finite partial transformation semigroups. ⋮ ON THE SINGULAR PART OF THE PARTITION MONOID ⋮ Generators and relations for partition monoids and algebras. ⋮ 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

• Unnamed Item
• Generators and relations for partition monoids and algebras.
• Semigroups that contain all singular transformations.
• ON THE SINGULAR PART OF THE PARTITION MONOID
• Idempotent rank in finite full transformation semigroups
• Rank Properties of the Semigroup of Singular Transformations on a Finite Set
• A PRESENTATION OF THE DUAL SYMMETRIC INVERSE MONOID
• PRESENTATIONS FOR SINGULAR SUBSEMIGROUPS OF THE PARTIAL TRANSFORMATION SEMIGROUP
• Presentation of the singular part of the Brauer monoid
• Idempotent generators in finite full transformation semigroups
• A presentation for the monoid of uniform block permutations
• A Presentation of the Singular Part of the Symmetric Inverse Monoid^#
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• The monoid of all injective order preserving partial transformations on a finite chain.
• Generating singular transformations

This page was built for publication: A presentation for the singular part of the full transformation semigroup.