GENERATING THE FULL TRANSFORMATION SEMIGROUP USING ORDER PRESERVING MAPPINGS

DOI10.1017/S0017089503001460zbMath1043.20041OpenAlexW2031286632MaRDI QIDQ4458965

Peter M. Higgins, James D. Mitchell, Nikola Ruškuc

Publication date: 25 March 2004

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

Full work available at URL: https://doi.org/10.1017/s0017089503001460

zbMATH Keywords

full transformation semigroupslinearly ordered setsorder preserving mappingsrelative ranks

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Total orders (06A05)

Related Items (14)

On relative ranks of the semigroup of orientation-preserving transformations on infinite chain with restricted range ⋮ Variants of finite full transformation semigroups ⋮ Weakly regular semigroups of isotone transformations. ⋮ Generating Borel measurable mappings with continuous mappings ⋮ Generating sets of an infinite semigroup of transformations preserving a zig-zag order ⋮ Relative ranks of Lipschitz mappings on countable discrete metric spaces ⋮ A note on generators of the endomorphism semigroup of an infinite countable chain ⋮ Regularity conditions for semigroups of isotone transformations of countable chains. ⋮ On relative ranks of the semigroup of orientation-preserving transformations on infinite chains ⋮ Regularity of semigroups of transformations with restricted range preserving an alternating orientation order ⋮ Regularity in the semigroup of transformations preserving a zig-zag order ⋮ On relative ranks of finite transformation semigroups with restricted range ⋮ On orientation-preserving transformations of a chain ⋮ Infinite partition monoids

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