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Semigroups with the ideal extension property

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Publication:1408757
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DOI10.1016/S0021-8693(03)00313-2zbMath1030.20038OpenAlexW2067146249MaRDI QIDQ1408757

Xiao Jiang Guo

Publication date: 25 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00313-2


zbMATH Keywords

maximal subgroupstorsion groupscompletely regular semigroupscompletely simple semigroupsideal extension propertysemilattices of ideal extensions


Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Regular semigroups (20M17)




Cites Work

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  • The congruence extension property for algebraic semigroups
  • The structure of commutative semigroups with the ideal extension property
  • Extending ideals in regular topological semigroups
  • The ideal extension property in compact semigroups
  • Identities for existence varieties of regular semigroups
  • The congruence extension property in compact semigroups having precisely one regular \(D\)-class
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