On the Monoids of Transformations that Preserve the Order and a Uniform Partition

DOI10.1080/00927872.2010.492043zbMath1235.20056OpenAlexW2057150333MaRDI QIDQ3098167

Teresa M. Quinteiro, Vítor H. Fernandes

Publication date: 17 November 2011

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

Full work available at URL: http://hdl.handle.net/10400.21/2223

zbMATH Keywords

partitionsgenerating setsrankstransformation monoidsorder-preserving transformationsbilateral semidirect products

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05)

Related Items (6)

Regular and unit-regular elements in various monoids of transformations ⋮ The minimal number of generators of a finite semigroup. ⋮ On the Ranks of Certain Monoids of Transformations that Preserve a Uniform Partition ⋮ On certain semigroups of transformations that preserve a partition ⋮ Regular, unit-regular, and idempotent elements of semigroups of transformations that preserve a partition ⋮ Partial transformation monoids preserving a uniform partition.

Cites Work

• Bilateral semidirect product decompositions of transformation monoids.
• Semigroups of order preserving mappings on a finite chain: A new class of divisors
• Standard automata and semidirect products of transformation semigroups
• Endomorphisms of the semigroup of order-preserving mappings.
• Zappa products
• Green's equivalences on semigroups of transformations preserving order and an equivalence relation.
• Bilateral semidirect products of transformation semigroups
• On the ranks of certain semigroups of order-preserving transformations
• Catalan monoids, monoids of local endomorphisms, and their presentations
• The rank of the endomorphism monoid of a uniform partition.
• On the rank of the semigroup \(T_E(X)\)
• The finite basis problem for pseudovariety
• Semigroups of order-preserving mappings
• REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE
• The Gap Between Partial and Full
• DIVISORS OF SEMIGROUPS OF ORDER-PRESERVING MAPPINGS ON A FINITE CHAIN
• Products of idempotents in certain semigroups of transformations

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