On the Ranks of Certain Monoids of Transformations that Preserve a Uniform Partition

DOI10.1080/00927872.2012.720322zbMath1290.20053OpenAlexW2112475277MaRDI QIDQ5409806

Teresa M. Quinteiro, Vítor H. Fernandes

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.720322

zbMATH Keywords

semigroups of transformationssemigroups of order-preserving transformationssemigroups of orientation-preserving transformationssemigroups of equivalence-preserving transformations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05)

Related Items (14)

On the monoid of partial isometries of a finite star graph ⋮ Ranks and presentations of some normally ordered inverse semigroups ⋮ Regular and unit-regular elements in various monoids of transformations ⋮ On three submonoids of the dihedral inverse monoid on a finite set ⋮ On the monoid of partial isometries of a cycle graph ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Partial automorphisms and injective partial endomorphisms of a finite undirected path ⋮ On Semigroups of Orientation-preserving Transformations with Restricted Range ⋮ On certain semigroups of transformations that preserve a partition ⋮ Ranks of monoids of endomorphisms of a finite undirected path ⋮ Regular, unit-regular, and idempotent elements of semigroups of transformations that preserve a partition ⋮ On orientation-preserving transformations of a chain ⋮ Partial transformation monoids preserving a uniform partition.

Uses Software

• GAP

Cites Work

• Unnamed Item
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• The monoid of orientation-preserving mappings on a chain
• Presentations for two extensions of the monoid of order-preserving mappings on a finite chain
• Regularity and Green's relations for semigroups of transformations preserving orientation and an equivalence.
• The rank of the endomorphism monoid of a uniform partition.
• On the rank of the semigroup \(T_E(X)\)
• On the Monoids of Transformations that Preserve the Order and a Uniform Partition
• Semigroups generated by a group and an idempotent
• The monoid of all injective orientation preserving partial transformations on a finite chain
• PRESENTATIONS FOR SOME MONOIDS OF PARTIAL TRANSFORMATIONS ON A FINITE CHAIN
• REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE
• Products of idempotents in certain semigroups of transformations
• CONGRUENCES ON MONOIDS OF ORDER-PRESERVING OR ORDER-REVERSING TRANSFORMATIONS ON A FINITE CHAIN

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