On the word problem for free bands of groups and for free objects in some other varieties of completely regular semigroups

DOI10.1007/BF02573217zbMath0661.20037MaRDI QIDQ1112964

Jiří Kad'ourek

Publication date: 1989

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

zbMATH Keywords

algorithmword problemcompletely regular semigroupsfree objectsunions of groupsregular bandsvarieties of completely regular semigroupscongruence partitionfree bands of groups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05)

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Polák theorem and B-relation on varieties of completely regular semigroups ⋮ New operators for varieties of completely regular semigroups. ⋮ An equation for operators on varieties of completely regular semigroups ⋮ Relations on a lattice of varieties of completely regular semigroups ⋮ Semidirect products of regular semigroups ⋮ Local varieties of completely regular monoids ⋮ Some relations on a semilattice of varieties of completely regular semigroups ⋮ Kernel classes of varieties of completely regular semigroups. I ⋮ Ladders and canonical varieties of completely regular semigroups ⋮ On some intervals of varieties of completely regular semigroups ⋮ Another lattice of varieties of completely regular semigroups ⋮ On singleton kernel classes in the lattice of varieties of completely regular semigroups ⋮ Completely regular semigroups as semigroups of partial transformations

Cites Work

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• On varieties of completely regular semigroups. I
• Lattices of completely regular semigroup varieties
• On the word problem for free completely regular semigroups
• On varieties of completely regular semigroups. II, III
• Word problems for free objects in certain varieties of completely regular semigroups
• Free completely regular semigroups
• The free completely regular semigroup on a set