On Amenable Orders and Inverse Transversals

DOI10.1080/00927872.2010.489530zbMath1267.20088OpenAlexW2121308294MaRDI QIDQ3094832

T. S. Blyth, M. H. Almeida Santos

Publication date: 27 October 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.489530

zbMATH Keywords

idempotentsregular semigroupslocally inverse semigroupssemilatticesamenable ordersinverse transversalsMcAlister conesnatural partial order

Mathematics Subject Classification ID

Regular semigroups (20M17) Inverse semigroups (20M18) Semilattices (06A12)

Related Items (6)

ℋ-Cohesive Orders Associated with Inverse Transversals ⋮ A construction of regular semigroups with quasiideal regular \(\ast\)-transversals ⋮ The generalization of two basic results for orthodox semigroups. ⋮ THE ZELEZNIKOW PROBLEM ON A CLASS OF ADDITIVELY IDEMPOTENT SEMIRINGS ⋮ On Generalized Orthodox Transversals ⋮ Fundamental regular semigroups with quasi-ideal regular \(*\)-transversals.

Cites Work

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• Amenably ordered inverse semigroups
• Lattices and ordered algebraic structures
• INVERSE TRANSVERSALS ARE MUTUALLY ISOMORPHIC
• A CLASSIFICATION OF INVERSE TRANSVERSALS
• The natural partial order on a regular semigroup
• On weakly multiplicative inverse transversals
• A simplistic approach to inverse transversals
• Amenable orders associated with inverse transversals

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