Idempotent depth in semigroups of order-preserving mappings

DOI10.1017/S0308210500022502zbMath0817.20063MaRDI QIDQ4317655

Peter M. Higgins

Publication date: 20 December 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

idempotentsdepthfinite transformation semigroupsminimal generating setdecreasing selfmapsorder-preserving selfmaps

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (9)

The monoid of orientation-preserving \(k\)-extensive transformations ⋮ Abundance of the ideals of the order-preserving and decreasing full transformation semigroup ⋮ The monoid of all orientation-preserving and extensive full transformations on a finite chain ⋮ The monoid of all orientation-preserving and extensive partial transformations on a finite chain ⋮ Combinatorial results for semigroups of orientation-preserving and order-decreasing transformations ⋮ On the semigroups of order-preserving transformations generated by idempotents of rank n −1 ⋮ Unnamed Item ⋮ ℋ-Trivial Transformation Semibands and Digraphs ⋮ Regular order-preserving transformation semigroups

Cites Work

• Équipotence et unicité de systèmes générateurs minimaux dans certains monoides
• On the ranks of certain semigroups of order-preserving transformations
• Products of idempotent order-preserving transformations of arbitrary chains
• Products of Idempotent Order-Preserving Transformations
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• Products of idempotents in finite full transformation semigroups
• Products of idempotents in finite full transformation semigroups

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