The endomorphisms of a finite chain form a Rees congruence semigroup

DOI10.1007/PL00006004zbMath0931.20051OpenAlexW2069296875MaRDI QIDQ1300587

Andrew Solomon, Timothy Lavers

Publication date: 29 November 1999

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

Full work available at URL: https://doi.org/10.1007/pl00006004

zbMATH Keywords

endomorphismsidealsfinite chainsRees congruencessemigroups of transformationsorder-preserving mappings

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20) Subalgebras, congruence relations (08A30)

Related Items (5)

Semigroup theory of symmetry ⋮ On divisors of semigroups of order-preserving mappings of a finite chain. ⋮ Endomorphisms of the semigroup of order-preserving mappings. ⋮ Congruences on monoids of transformations preserving the orientation on a finite chain. ⋮ Endomorphisms of semigroups of order-preserving partial transformations

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