Nilpotents and congruences on semigroups of transformations with fixed rank

DOI10.1017/S0308210500028092zbMath0828.20065OpenAlexW2077453083MaRDI QIDQ4839294

M. Paula O. Marques-Smith, Robert P. Sullivan

Publication date: 14 December 1995

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

Full work available at URL: https://doi.org/10.1017/s0308210500028092

zbMATH Keywords

idempotentscongruencestransformation semigroupssingular cardinalsRees quotients0-bisimple regular subsemigroupsproducts of nilpotent elements

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Regular semigroups (20M17) Subalgebras, congruence relations (08A30) Mappings of semigroups (20M15)

Related Items (4)

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
• Semigroups generated by nilpotent transformations
• A congruence-free semigroup associated with an infinite cardinal number
• Some subsemigroups of infinite full transformation semigroups
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup

This page was built for publication: Nilpotents and congruences on semigroups of transformations with fixed rank