Presentations for two extensions of the monoid of order-preserving mappings on a finite chain
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Publication:1586826
DOI10.1007/S10012-000-0001-1zbMath0973.20049OpenAlexW2012260008MaRDI QIDQ1586826
Robert E. Arthur, Nikola Ruškuc
Publication date: 30 August 2001
Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10012-000-0001-1
relationspresentationsgeneratorsmonoids of orientation preserving mapsmonoids of orientation reversing maps
Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Total orders (06A05)
Related Items (13)
Endomorphisms of semigroups of oriented transformations ⋮ Unnamed Item ⋮ On the Ranks of Certain Monoids of Transformations that Preserve a Uniform Partition ⋮ On relative ranks of the semigroup of orientation-preserving transformations on infinite chains ⋮ \(D_n\)-normal semigroups of transformations. ⋮ Bilateral semidirect product decompositions of transformation monoids. ⋮ PRESENTATIONS FOR SOME MONOIDS OF PARTIAL TRANSFORMATIONS ON A FINITE CHAIN ⋮ On Divisors of Pseudovarieties Generated by Some Classes of Full Transformation Semigroups ⋮ On Semigroups of Orientation-preserving Transformations with Restricted Range ⋮ Congruences on monoids of transformations preserving the orientation on a finite chain. ⋮ On Rank Properties of Endomorphisms of Finite Circular Orders ⋮ On orientation-preserving transformations of a chain ⋮ The Ranks of Ideals in Various Transformation Monoids
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