Locality of DS and associated varieties

DOI10.1016/0022-4049(94)00054-9zbMath0844.20040OpenAlexW2012079346MaRDI QIDQ1909729

P. G. Trotter, Peter R. Jones

Publication date: 1 September 1996

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(94)00054-9

zbMATH Keywords

pseudovarieties of monoidslocal monoidsfinite monoidscompletely regular monoidsMal'cev productextension closed pseudovarietysemidirect decompositions of varietiessemidirect product of pseudovarieties

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Semigroups in automata theory, linguistics, etc. (20M35) Connections of semigroups with homological algebra and category theory (20M50) Products, amalgamated products, and other kinds of limits and colimits (08B25)

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Cites Work

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• 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
• The kernel of monoid morphisms
• Two-sided wreath product of categories
• Local varieties of completely regular monoids
• Closure of varieties of languages under products with counter
• Sur le produit de concatenation non ambigu
• Decomposition techniques for finite semigroups, using categories. II
• Varieties of finite categories