A note on maximal regular subsemigroups of the finite transformation semigroups \(\mathcal T(n,r)\).

DOI10.1007/s00233-013-9523-6zbMath1296.20060OpenAlexW2022641723MaRDI QIDQ2247986

Huabi Hu, Ping Zhao, Tai-Jie You

Publication date: 30 June 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-013-9523-6

zbMATH Keywords

finite transformation semigroupsidempotent generated subsemigroupsmaximal regular subsemigroups

Mathematics Subject Classification ID

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

Related Items (2)

Locally maximal regular subsemibands of the finite transformation semigroups \(\mathcal{T}(n,r)\) ⋮ The regular part of a semigroup of full transformations with restricted range: maximal inverse subsemigroups and maximal regular subsemigroups of its ideals

Cites Work

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• Order-independence algebras
• Maximal regular subsemibands of \(\text{Sing}_n\).
• Idempotent rank in finite full transformation semigroups
• Semigroups of transformations generated by idempotents with a given defect
• Products of idempotent endomorphisms of an independence algebra of finite rank
• Idempotent generators in finite full transformation semigroups
• On products of idempotent matrices

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