A generalized Clifford theorem of semigroups.

DOI10.1007/s11425-009-0150-3zbMath1193.20067OpenAlexW2076312975MaRDI QIDQ977238

Xue-Ming Ren, Y. Q. Guo, Kar Ping Shum

Publication date: 21 June 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0150-3

zbMATH Keywords

idempotentsGreen relationssuperabundant semigroupsunions of groupsClifford theorem\(U\)-abundant semigroups\(U\)-superabundant semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Regular semigroups (20M17)

Related Items (10)

On \((E,\widetilde{\mathcal {H}}_E)\)-abundant semigroups and their subclasses ⋮ The structure of medial weakly \(U\)-abundant semigroups. ⋮ Laws for generalised interior operations in semigroups ⋮ The semigroup of endomorphisms with restricted range of an independence algebra ⋮ Structure theorems for weakly \(B\)-abundant semigroups. ⋮ On the structure of semigroups whose regular elements are completely regular ⋮ Cellularity of some semigroup algebras ⋮ An Analogy of Clifford Decomposition Theorem for Abel-Grassmann Groupoids ⋮ Matrix semigroups over semirings ⋮ Hall-type representations for generalised orthogroups.

Cites Work

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• Projectively condensed semigroups, generalized completely regular semigroups and projective orthomonoids.
• On \(U\)-orthodox semigroups.
• Semigroups and ordered categories. I: The reduced case
• A Munn type representation for a class of \(E\)-semiadequate semigroups
• The structure of superabundant semigroups.
• Quasi-\(C\)-Ehresmann semigroups and their subclasses.
• Rees matrix semigroups
• Abundant Semigroups

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