Ranks of Semigroups Generated by Order-Preserving Transformations with a Fixed Partition Type

DOI10.1081/AGB-120018506zbMath1022.20034OpenAlexW2031004667MaRDI QIDQ4804852

George Barnes, Inessa Levi

Publication date: 28 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120018506

zbMATH Keywords

partitionsweightsGreen's relationskernelsminimal generating setssemigroups of transformationsorder preserving transformations

Mathematics Subject Classification ID

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

Related Items (5)

Semigroup theory of symmetry ⋮ The rank of the endomorphism monoid of a uniform partition. ⋮ Orbits of primitive $k$-homogenous groups on $(n-k)$-partitions with applications to semigroups ⋮ The rank of the semigroup of transformations stabilising a partition of a finite set ⋮ On Rank Properties of Endomorphisms of Finite Circular Orders

Cites Work

• Unnamed Item
• On the ranks of certain semigroups of order-preserving transformations
• The monoid of ordered partitions of a natural number
• S_n-normal semigroups
• COMBINATORIAL TECHNIQUES FOR DETERMINING RANK AND IDEMPOTENT RANK OF CERTAIN FINITE SEMIGROUPS
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• Products of idempotents in certain semigroups of transformations

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