\(E\)-free objects and \(E\)-locality for completely regular semigroups

DOI10.1007/BF02573644zbMath0836.20083MaRDI QIDQ1902169

Peter R. Jones

Publication date: 16 April 1996

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

Full work available at URL: https://eudml.org/doc/135423

zbMATH Keywords

word problemcompletely regular semigroupspseudovarieties of monoidsvariety of groupsexistence varietylocal semigroupsvariety of unary semigroupsbifree semigroupse-varietysemidirect product decompositions

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Regular semigroups (20M17) Quasivarieties (08C15)

Related Items (3)

Obituary: Libor Polák (1950--2020) ⋮ Associativity of products of existence varieties of regular semigroups ⋮ Rees matrix covers and semidirect products of regular semigroups

Cites Work

• Categories as algebra: An essential ingredient in the theory of monoids
• Residual finiteness in completely regular semigroup varieties
• Monoid varieties defined by \(x^{n+1}=x\) are local
• On the word problem for free completely regular semigroups
• Local varieties of completely regular monoids
• The bifree locally inverse semigroup on a set
• The bifree regular \(E\)-solid semigroups
• An introduction to existence varieties of regular semigroups
• Free completely regular semigroups
• THE EXISTENCE OF E-FREE OBJECTS IN E-VARIETIES OF REGULAR SEMIGROUPS
• Semidirect products of regular semigroups
• The free completely regular semigroup on a set

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