On Rank Properties of Endomorphisms of Finite Circular Orders

DOI10.1080/00927870500454091zbMath1098.20050OpenAlexW2163516613MaRDI QIDQ5469990

Inessa Levi, James D. Mitchell

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500454091

zbMATH Keywords

partitionskernelsminimal generating setscircular orderssemigroups of orientation-preserving mappingsidempotent generating sets

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial identities, bijective combinatorics (05A19) Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05)

Related Items (3)

Orientation-preserving and orientation-reversing mappings: a new description ⋮ John Macintosh Howie: work and legacy ⋮ Oriented transformations on a finite chain: another description

Cites Work

• The monoid of orientation-preserving mappings on a chain
• Counting techniques to label constant weight Gray codes with links to minimal generating sets of semigroups
• Idempotent generated endomorphisms of an independence algebra.
• Presentations for two extensions of the monoid of order-preserving mappings on a finite chain
• On the ranks of certain finite semigroups of transformations
• S_n-normal semigroups
• On the rank of completely 0-simple semigroups
• COMBINATORIAL TECHNIQUES FOR DETERMINING RANK AND IDEMPOTENT RANK OF CERTAIN FINITE SEMIGROUPS
• Ranks of Semigroups Generated by Order-Preserving Transformations with a Fixed Partition Type
• An Elementary Proof That Every Singular Matrix Is a Product of Idempotent Matrices
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• On products of idempotent matrices
• Products of idempotents in certain semigroups of transformations

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