IDEMPOTENT RANK IN THE ENDOMORPHISM MONOID OF A NONUNIFORM PARTITION

DOI10.1017/S0004972715000751zbMath1342.20056arXiv1504.02520OpenAlexW3098379097MaRDI QIDQ2786580

James East, Igor Dolinka, James D. Mitchell

Publication date: 15 February 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02520

zbMATH Keywords

partitionsgenerating setsnumbers of generatorsidempotent rankssemigroups of transformationstransformation monoids

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Regular semigroups (20M17)

Related Items (9)

Motzkin monoids and partial Brauer monoids ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ Regular and unit-regular elements in various monoids of transformations ⋮ Idempotents and one-sided units: lattice invariants and a semigroup of functors on the category of monoids ⋮ Unnamed Item ⋮ On certain semigroups of transformations that preserve a partition ⋮ Idempotent Generation in the Endomorphism Monoid of a Uniform Partition ⋮ Regular, unit-regular, and idempotent elements of semigroups of transformations that preserve a partition ⋮ Presentations for singular wreath products

Cites Work

• The rank of the endomorphism monoid of a uniform partition.
• On the ranks of certain finite semigroups of transformations
• Idempotent generators in finite full transformation semigroups
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• The number of irreducible tournaments

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