On the maximal regular subsemigroups of ideals of order-preserving or order-reversing transformations.

DOI10.1007/S00233-010-9272-8zbMath1213.20065OpenAlexW2076360164MaRDI QIDQ633193

Ilinka Dimitrova, Jörg Koppitz

Publication date: 31 March 2011

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

Full work available at URL: https://doi.org/10.1007/s00233-010-9272-8

zbMATH Keywords

regular semigroupstransformation semigroupsorder-preserving transformationsmaximal subsemigroupsorder-reversing transformations

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (8)

Maximal regular subsemibands of the finite order-preserving partial transformation semigroups \(\mathcal {PO}(n,r)\) ⋮ Maximal regular subsemibands of finite order-preserving transformation semigroups \(K(n,r)\). ⋮ John Macintosh Howie: work and legacy ⋮ Locally maximal regular subsemibands of the finite transformation semigroups \(\mathcal{T}(n,r)\) ⋮ On certain semigroups of full contraction maps of a finite chain ⋮ The regular part of a semigroup of full transformations with restricted range: maximal inverse subsemigroups and maximal regular subsemigroups of its ideals ⋮ Regular semigroups of partial transformations preserving a fence N ⋮ Combinatorial results for semigroups of order-preserving or order-reversing subpermutations

Cites Work

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• On the ranks of certain semigroups of order-preserving transformations
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• ON THE MAXIMAL SUBSEMIGROUPS OF SOME TRANSFORMATION SEMIGROUPS
• Maximal properties of some subsemigroups in finite order-preserving transformation semigroups
• PRESENTATIONS FOR SOME MONOIDS OF PARTIAL TRANSFORMATIONS ON A FINITE CHAIN
• A classification of maximal subsemigroups of finite order-preserving transformation semigroups
• On the maximal subsemigroups of the semigroup of all monotone transformations
• Products of idempotents in certain semigroups of transformations

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