Adequate Transversals of Quasi-Adequate Semigroups

DOI10.1080/00927872.2010.543205zbMath1270.20061arXiv1003.4136OpenAlexW2100617137MaRDI QIDQ5389022

Jehan A. Al-Bar, James Renshaw

Publication date: 24 April 2012

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

Full work available at URL: https://arxiv.org/abs/1003.4136

zbMATH Keywords

idempotentssemidirect productsregular semigroupsinverse transversalsabundant semigroupsadequate transversalsadequate semigroupsleft ample semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Regular semigroups (20M17) Orthodox semigroups (20M19) Inverse semigroups (20M18)

Related Items (3)

A Munn type representation of abundant semigroups with a multiplicative ample transversal ⋮ Good congruences on abundant semigroups with \(PSQ\)-adequate transversals. ⋮ Weakly U-abundant semigroups with strong Ehresmann transversals

Cites Work

• Abundant semigroups with a multiplicative type \(A\) transversal
• Associate inverse subsemigroups of regular semigroups.
• Abundant semigroups with a multiplicative quasi-adequate transversal.
• Abundant semigroups with a quasi-ideal quasi-adequate transversal.
• Left inverse semigroups with inverse transversals
• Split orthodox semigroups
• Relationship between the quasi-ideal adequate transversals of an abundant semigroup.
• Abundant semigroups with a multiplicative adequate transversal
• F-abundant semigroups
• Adequate Semigroups
• REGULAR SEMIGROUPS WITH INVERSE TRANSVERSALS
• On Adequate Transversals
• Construction of regular semigroups with inverse transversals
• Abundant Semigroups
• Quasi-adequate semigroups
• On regular semigroups with orthodox transversals
• On Generalized Adequate Transversals

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