The Rhodes expansion and free objects in varieties of completely regular semigroups

DOI10.1016/0022-4049(90)90080-2zbMath0722.20037OpenAlexW2006872478MaRDI QIDQ755897

Norman R. Reilly

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-4049(90)90080-2

zbMATH Keywords

filterMal'cev productsfree objectfully invariant congruencesvariety of bandslattice of varieties of completely regular semigroupsRhodes expansionvariety of left zero semigroups

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Regular semigroups (20M17)

Related Items (8)

FURTHER RESULTS ON MONOIDS ACTING ON TREES ⋮ Bounds on the variety generated by completely regular syntactic monoids from finite prefix codes ⋮ An infinite order operator on the lattice of varieties of completely regular semigroups ⋮ John Rhodes and the theory of finite semigroups. ⋮ The pseudoidentity problem and reducibility for completely regular semigroups ⋮ On Rhodes expansions of bands ⋮ Kernel classes of varieties of completely regular semigroups. II ⋮ Representations of relatively free profinite semigroups, irreducibility, and order primitivity

Cites Work

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• Iteration of expansions. Unambiguous semigroups
• On varieties of completely regular semigroups. I
• On varieties of completely regular semigroups. II, III
• Word problems for free objects in certain varieties of completely regular semigroups
• Congruences on Regular Semigroups
• The free completely regular semigroup on a set

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