HALL'S CONDITION AND IDEMPOTENT RANK OF IDEALS OF ENDOMORPHISM MONOIDS

DOI10.1017/S0013091504001397zbMath1138.20056OpenAlexW1986781620MaRDI QIDQ5450656

Robert D. Gray

Publication date: 13 March 2008

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091504001397

zbMATH Keywords

generating setsmatchingsendomorphism monoidsidempotent ranksfull transformation monoidsfinite \(0\)-simple semigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (12)

Congruence Lattices of Ideals in Categories and (Partial) Semigroups ⋮ Semigroups of rectangular matrices under a sandwich operation ⋮ Variants of finite full transformation semigroups ⋮ Motzkin monoids and partial Brauer monoids ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ John Macintosh Howie: work and legacy ⋮ The minimal number of generators of a finite semigroup. ⋮ Ehresmann theory and partition monoids ⋮ Structure of principal one-sided ideals ⋮ Presentations for singular wreath products ⋮ The Ranks of Ideals in Various Transformation Monoids ⋮ Sandwich semigroups in diagram categories

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