Relatively inherently nonfinitely q-based semigroups

DOI10.1090/S0002-9947-08-04798-3zbMath1171.08003OpenAlexW2017261401MaRDI QIDQ3623389

Marcel Jackson, Mikhail V. Volkov

Publication date: 17 April 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04798-3

zbMATH Keywords

semigroupquasivarietyquasi-identityorder-preserving mapinjective mapuniversal classhomotopy embedding3-nilpotent semigroupfinite q-basis propertyinherently nonfinitely q-based semigroup relative to a class

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Varieties and pseudovarieties of semigroups (20M07) Quasivarieties (08C15)

Related Items (10)

Axiomatisability and hardness for universal Horn classes of hypergraphs ⋮ Catalan monoids inherently nonfinitely based relative to finite \(\mathscr{R}\)-trivial semigroups ⋮ Semigroups embeddable in hyperplane face monoids. ⋮ The axiomatizability of topological prevarieties ⋮ Natural dualities, nilpotence and projective planes ⋮ A sufficient condition for the non-finite basis property of semigroups. ⋮ Quasi-equational bases for graphs of semigroups, monoids and groups. ⋮ The equational complexity of Lyndon's algebra ⋮ Undecidable problems for completely 0-simple semigroups. ⋮ Nonfinitely based ai-semirings with finitely based semigroup reducts

Cites Work

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• The finite basis problem for quasivarieties and pseudovarieties generated by regular semigroups. I: Quasivarieties generated by regular semigroups.
• Quasi-identities of finite semigroups and symbolic dynamics
• Relation algebras and function semigroups
• Identical relations in finite groups
• IDENTITIES IN THE ALGEBRA OF PARTIAL MAPS
• The Number of Semigroups of Order n
• The finite basis problem for the semigroups of order-preserving mappings
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• On finite semigroups embeddable in inverse semigroups.
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