Some subsemigroups of infinite full transformation semigroups

DOI10.1017/S0308210500017364zbMath0452.20064OpenAlexW1970401664MaRDI QIDQ3898686

John M. Howie

Publication date: 1981

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/s0308210500017364

zbMATH Keywords

collapsedefectfull transformation semigroupproducts of idempotentsbalanced elementselements of finite shift

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05)

Related Items (20)

Products of idempotent endomorphisms of an independence algebra of infinite rank ⋮ Products of idempotent endomorphisms of free acts of infinite rank ⋮ Products of idempotent linear transformations ⋮ The depth of the semigroup of balanced endomorphisms ⋮ Nilpotents and congruences on semigroups of transformations with fixed rank ⋮ A combinatorial property of finite full transformation semigroups ⋮ John Macintosh Howie: work and legacy ⋮ Permutations of a semigroup that map to inverses. ⋮ Nilpotents in semigroups of partial transformations ⋮ The idempotent generated subsemigroup of the semigroup of continuous endomorphisms of a separable Hilbert space ⋮ Products of idempotents in finite full transformation semigroups ⋮ Products of two idempotent transformations over arbitrary sets and vector spaces ⋮ Decomposition of singular elements of an algebra into product of idempotents, a survey ⋮ A class of bisimple, idempotent-generated congruence-free semigroups ⋮ Products of three idempotent transformations ⋮ A congruence-free semigroup associated with an infinite cardinal number ⋮ The congruences on the semigroup of balanced transformations of an infinite set ⋮ Enumeration of certain finite semigroups of transformations ⋮ The ideal structure of idempotent-generated transformation semigroups ⋮ Generators and factorisations of transformation semigroups

Cites Work

• Unnamed Item
• Embedding semigroups in semibands
• On regular semigroups
• A class of bisimple, idempotent-generated congruence-free semigroups
• Idempotent generators in finite full transformation semigroups
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• A characterization of inaccessible cardinals
• Products of idempotents in finite full transformation semigroups

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