CONGRUENCES ON MONOIDS OF ORDER-PRESERVING OR ORDER-REVERSING TRANSFORMATIONS ON A FINITE CHAIN

DOI10.1017/S0017089505002648zbMath1083.20056OpenAlexW1964270385MaRDI QIDQ5697657

Manuel M. Jesus, Gracinda M. S. Gomes, Vítor H. Fernandes

Publication date: 18 October 2005

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089505002648

zbMATH Keywords

congruencesrankstransformation semigroupsorder-preserving transformationsorder-reversing transformations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Regular semigroups (20M17) Subalgebras, congruence relations (08A30)

Related Items (11)

Congruence Lattices of Ideals in Categories and (Partial) Semigroups ⋮ Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set ⋮ On certain semigroups of full contraction maps of a finite chain ⋮ Congruences on infinite semigroups of transformations preserving a zig-zag order ⋮ On the Ranks of Certain Monoids of Transformations that Preserve a Uniform Partition ⋮ On Divisors of Pseudovarieties Generated by Some Classes of Full Transformation Semigroups ⋮ Congruences on monoids of transformations preserving the orientation on a finite chain. ⋮ The Ranks of Ideals in Various Transformation Monoids ⋮ Combinatorial results for semigroups of order-preserving or order-reversing subpermutations ⋮ Endomorphisms of semigroups of order-preserving partial transformations ⋮ On the large rank of certain semigroups of transformations on a finite chain

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