A common framework for restriction semigroups and regular \(*\)-semigroups.

DOI10.1016/J.JPAA.2011.07.014zbMath1257.20058OpenAlexW2005010442MaRDI QIDQ418916

Peter R. Jones

Publication date: 30 May 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.07.014

zbMATH Keywords

idempotentssemidirect productsembeddingsdirect productsregular semigroupsvarietiesorthodox semigroupsassociate subgroupscryptic semigroupsregular \(*\)-semigroupsrestriction semigroupssemigroups with involutionunary semigroups

Mathematics Subject Classification ID

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

Related Items (24)

Projection-primitive \(P\)-Ehresmann semigroups ⋮ An Ehresmann-Schein-Nambooripad type theorem for DRC-semigroups ⋮ Algebras of reducedE-Fountain semigroups and the generalized ample identity ⋮ On generalized Ehresmann semigroups ⋮ Trace- and pseudo-products: restriction-like semigroups with a band of projections ⋮ A Unary Semigroup Trace Algebra ⋮ On groups generated by involutions of a semigroup. ⋮ Almost perfect restriction semigroups ⋮ An Ehresmann-Schein-Nambooripad-type theorem for a class of \(P\)-restriction semigroups ⋮ On the structure of glrac semigroups ⋮ On d-semigroups, r-semigroups, dr-semigroups and their subclasses ⋮ Ehresmann-Schein-Nambooripad theorems for classes of biunary semigroups ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ Proper two-sided restriction semigroups and partial actions. ⋮ On algebras of \(P\)-Ehresmann semigroups and their associate partial semigroups ⋮ A construction of regular semigroups with quasiideal regular \(\ast\)-transversals ⋮ Varieties ofP-Restriction Semigroups ⋮ Completions of generalized restriction \(P\)-restriction semigroups ⋮ ON PSEUDO-EHRESMANN SEMIGROUPS ⋮ On weakly \(P\)-Ehresmann semigroups ⋮ Ehresmann semigroups whose categories are EI and their representation theory ⋮ Groupoids on a skew lattice of objects ⋮ Fundamental regular semigroups with quasi-ideal regular \(*\)-transversals. ⋮ On orthodox P-restriction semigroups

Cites Work

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• P-systems in regular semigroups
• Bands with an involution
• Regular * semigroups
• A Munn type representation for a class of \(E\)-semiadequate semigroups
• Relatively free *-bands
• THE FREE AMPLE MONOID
• Free right type A semigroups
• A solution of the word problem for free \(^*\)-regular semigroups
• Fundamental Ehresmann semigroups
• Restriction categories. I: Categories of partial maps

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