PRESENTATIONS FOR SINGULAR SUBSEMIGROUPS OF THE PARTIAL TRANSFORMATION SEMIGROUP

DOI10.1142/S0218196710005509zbMath1201.20063MaRDI QIDQ3552312

James East

Publication date: 15 April 2010

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

presentationstransformation semigroupspartial transformations

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 ⋮ A subsemigroup of the rook monoid ⋮ 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. ⋮ The minimal number of generators of a finite semigroup. ⋮ ON THE SINGULAR PART OF THE PARTITION MONOID ⋮ Generators and relations for partition monoids and algebras. ⋮ 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 $PD_n$ ⋮ Partial transformation monoids preserving a uniform partition.

Cites Work

• On the ranks of certain semigroups of order-preserving transformations
• The inverse braid monoid.
• Braids and partial permutations.
• Vines and partial transformations.
• On the ranks of certain finite semigroups of transformations
• The theory of vines
• A Presentation of the Singular Part of the Symmetric Inverse Monoid^#
• The monoid of all injective order preserving partial transformations on a finite chain.

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