Finitely and non-finitely related words

DOI10.1007/s00233-024-10452-8MaRDI QIDQ6623519

Daniel Glasson

Publication date: 24 October 2024

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

zbMATH Keywords

semigroup theoryalgebraic structuresfinite basis problemfinitely related algebrasnilpotent monoidschain wordscrown wordsmaelstrom words

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Operations and polynomials in algebraic structures, primal algebras (08A40)

Cites Work

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• On the number of finite algebraic structures
• Inherently non-finitely generated varieties of aperiodic monoids with central idempotents.
• Finite degree: algebras in general and semigroups in particular
• Finiteness properties of varieties and the restriction to finite algebras.
• On finitely related semigroups.
• On certain cross varieties of aperiodic monoids with commuting idempotents.
• Finite bands are finitely related
• Bases for equational theories of semi-groups
• Unending chess, symbolic dynamics and a problem in semi-groups
• Flat extensions of groups and limit varieties of additively idempotent semirings
• Finitely based, finite sets of words
• Monoid varieties with extreme properties
• FINITELY BASED WORDS
• Not all nilpotent monoids are finitely related

Related Items (1)

The Rees quotient monoid \(M(abba)\) generates a variety with uncountably many subvarieties

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