Generators and factorisations of transformation semigroups

DOI10.1017/S0308210500027360zbMath0920.20056OpenAlexW1992210634MaRDI QIDQ4229280

Peter M. Higgins, John M. Howie, Nikola Ruškuc

Publication date: 20 September 1999

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/s0308210500027360

zbMATH Keywords

idempotentsfull transformation semigroupspartial mappingssemibalanced elements

Mathematics Subject Classification ID

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

Related Items (21)

Factorisable Semigroups of Linear Transformations ⋮ The semigroup generated by the idempotents of a partition monoid. ⋮ Variants of finite full transformation semigroups ⋮ The rank of the endomorphism monoid of a uniform partition. ⋮ Orbits of primitive $k$-homogenous groups on $(n-k)$-partitions with applications to semigroups ⋮ Regular and unit-regular elements in various monoids of transformations ⋮ Unit-regular and semi-balanced elements in various semigroups of transformations ⋮ Idempotents and one-sided units: lattice invariants and a semigroup of functors on the category of monoids ⋮ Relative ranks of Lipschitz mappings on countable discrete metric spaces ⋮ The rank of the semigroup of transformations stabilising a partition of a finite set ⋮ Infinite dual symmetric inverse monoids ⋮ The product of the idempotents and an \(\mathcal H\)-class of the finite full transformation semigroup. ⋮ Unnamed Item ⋮ John Macintosh Howie: work and legacy ⋮ Permutations of a semigroup that map to inverses. ⋮ On relative ranks of the semigroup of orientation-preserving transformations on infinite chains ⋮ Idempotents and one-sided units in infinite partial Brauer monoids ⋮ v*-ALGEBRAS, INDEPENDENCE ALGEBRAS AND LOGIC ⋮ Generating continuous mappings with Lipschitz mappings ⋮ A Study on Cayley Graphs of Full Transformation Semigroups ⋮ Infinite partition monoids

Cites Work

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• A semigroup approach to linear algebraic groups
• Normal semigroups of one-to-one transformations
• Some subsemigroups of infinite full transformation semigroups
• The natural partial order on a regular semigroup
• Products of idempotent endomorphisms of an independence algebra of infinite rank
• THE ORBIT STRUCTURE OF FINITE MONOIDS
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup

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