Varieties of monoids with complex lattices of subvarieties

DOI10.1112/blms.12392zbMath1485.20134arXiv2001.07601OpenAlexW3001048199MaRDI QIDQ5135354

Edmond W. H. Lee, Sergey V. Gusev

Publication date: 20 November 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07601

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07)

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A survey on varieties generated by small semigroups and a companion website, A minimal pseudo-complex monoid, Varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive, From \(A\) to \(B\) to \(Z\), The lattice of varieties of monoids

Cites Work

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• The finite basis problem for words with at most two non-linear variables.
• Inherently non-finitely generated varieties of aperiodic monoids with central idempotents.
• Lattices of semigroup varieties
• Non-finitely based monoids.
• Every finite lattice can be embedded in a finite partition lattice
• Quasivarieties of algebraic systems
• Intervals in the lattice of varieties
• Finite semigroups whose varieties have uncountably many subvarieties
• Finiteness properties of varieties and the restriction to finite algebras.
• On the lattice of overcommutative varieties of monoids
• Almost cross varieties of aperiodic monoids with central idempotents.
• Finitely based sets of 2-limited block-2-simple words
• On certain cross varieties of aperiodic monoids with commuting idempotents.
• On the ascending and descending chain conditions in the lattice of monoid varieties
• Embedding the dual of \(\Pi^\infty\) in the lattice of equational classes of semigroups.
• Identical relations in finite groups
• FINITELY BASED, FINITE SETS OF WORDS
• Varieties generated by 2-testable monoids
• The modularity of the lattice of varieties of completely regular semigroups and related representations
• MINIMAL SEMIGROUPS GENERATING VARIETIES WITH COMPLEX SUBVARIETY LATTICES
• Chain varieties of monoids
• Monoid varieties with extreme properties
• Identities of locally testable semigroups
• COMBINATORIAL REES–SUSHKEVICH VARIETIES THAT ARE CROSS, FINITELY GENERATED, OR SMALL
• Embedding the Dual of Π m in the Lattice of Equational Classes of Commutative Semigroups