Posets whose monoids of order-preserving maps are regular

DOI10.1007/BF02034336zbMath0689.06004OpenAlexW2000144729MaRDI QIDQ1264163

K. Appert

Publication date: 1989

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02034336

zbMATH Keywords

posetsendomorphismregular semigroupmonoid of order-preserving maps

Mathematics Subject Classification ID

Partial orders, general (06A06) Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (13)

Semigroup theory of symmetry ⋮ Weakly regular semigroups of isotone transformations. ⋮ On the endomorphism semigroup of an ordered set ⋮ On regularity of semigroups of maps that preserve a binary relation ⋮ A note on generators of the endomorphism semigroup of an infinite countable chain ⋮ On ockham algebras whose endomorphism semigroups are regular ⋮ On semigroups of endomorphisms of a chain with restricted range. ⋮ The congruence class of an idempotent in a regular semigroup ⋮ Transformation semigroups preserving a binary relation. ⋮ Regularity of residuated mappings ⋮ On orientation-preserving transformations of a chain ⋮ E-special Ordered Regular Semigroups ⋮ Characterizations of totally ordered sets by their various endomorphisms

Cites Work

• Ordered sets, semilattices, distributive lattices and Boolean algebras with homomorphic endomorphism semigroups
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