Monoid varieties defined by \(x^{n+1}=x\) are local

DOI10.1007/BF02573769zbMath0790.20087MaRDI QIDQ688973

Peter R. Jones

Publication date: 6 June 1994

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135282

zbMATH Keywords

direct productsvarietycompletely regular monoidslocal varietypseudovariety of categoriespseudovariety of groups

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15) Connections of semigroups with homological algebra and category theory (20M50)

Related Items (10)

\(E\)-free objects and \(E\)-locality for completely regular semigroups ⋮ Locality of DS and associated varieties ⋮ Profinite categories, implicit operations and pseudovarieties of categories ⋮ The \(\mathbf G\)-exponent of a pseudovariety of semigroups ⋮ The pro-nilpotent group topology on a free group ⋮ THE GLOBALS OF SOME SUBPSEUDOVARIETIES OF $\mathsf{DA}$ ⋮ SOME OPERATORS THAT PRESERVE THE LOCALITY OF A PSEUDOVARIETY OF SEMIGROUPS ⋮ THE GLOBALS OF SOME SUBPSEUDOVARIETIES OF $\mathsf{DA}$ ⋮ Semigroup expansions using the derived category, kernel, and Malcev products ⋮ Bases for pseudovarieties closed under bideterministic product

Cites Work

• Categories as algebra: An essential ingredient in the theory of monoids
• Residual finiteness in completely regular semigroup varieties
• On varieties of completely regular semigroups. I
• On the equation \(x^ t=x^{t+q}\) in categories
• Local varieties of completely regular monoids
• Locality of DS and associated varieties
• Semigroups whose idempotents form a subsemigroup
• Free completely regular semigroups
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