Regularity conditions for semigroups of isotone transformations of countable chains.

DOI10.1007/S10958-008-9063-XzbMath1149.20049OpenAlexW1972669074MaRDI QIDQ950881

V. I. Kim, I. B. Kozhukhov

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-9063-x

zbMATH Keywords

regularitylinearly ordered setssemigroups of order-preserving transformationscomplete chainssemigroups of isotone transformations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Regular semigroups (20M17)

Related Items (8)

On regularity of semigroups of maps that preserve a binary relation ⋮ On semigroups of endomorphisms of a chain with restricted range. ⋮ Endomorphism semigroups of 2-nilpotent binary relations. ⋮ Congruences on infinite semigroups of transformations preserving a zig-zag order ⋮ Regularity of semigroups of transformations with restricted range preserving an alternating orientation order ⋮ The endotopism semigroups of a partial equivalence relation ⋮ On orientation-preserving transformations of a chain ⋮ Unnamed Item

Cites Work

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• Weakly regular semigroups of isotone transformations.
• Products of idempotent order-preserving transformations of arbitrary chains
• Combinatorial results for semigroups of order-preserving partial transformations.
• Semigroups of Isotone Selfmaps on Partially Ordered Sets
• GENERATING THE FULL TRANSFORMATION SEMIGROUP USING ORDER PRESERVING MAPPINGS

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