A congruence-free semigroup associated with an infinite cardinal number

DOI10.1017/S030821050001595XzbMath0515.20051MaRDI QIDQ3661818

M. Paula O. Marques

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

full transformation semigroupcongruence-free semigroupbisimple idempotent-generated semigroupnon-regular cardinal numbers

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Large cardinals (03E55) Mappings of semigroups (20M15)

Related Items (7)

Inverse semigroups generated by nilpotent transformations ⋮ Maximal Congruences on Some Semigroups ⋮ Nilpotents and congruences on semigroups of transformations with fixed rank ⋮ Nilpotents in semigroups of partial transformations ⋮ Products of two idempotent transformations over arbitrary sets and vector spaces ⋮ Products of three idempotent transformations ⋮ The congruences on the semigroup of balanced transformations of an infinite set

Cites Work

• Unnamed Item
• Unnamed Item
• The lattice of congruences on a Baer-Levi semigroup
• Congruence-free regular semigroups with zero
• Homomorphisms and subdirect decompositions of semigroups
• Some subsemigroups of infinite full transformation semigroups
• A class of bisimple, idempotent-generated congruence-free semigroups
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup

This page was built for publication: A congruence-free semigroup associated with an infinite cardinal number