On certain cross varieties of aperiodic monoids with commuting idempotents.

DOI10.1007/s00025-014-0390-6zbMath1321.20049OpenAlexW2044811339MaRDI QIDQ2258465

Edmond W. H. Lee

Publication date: 26 February 2015

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-014-0390-6

zbMATH Keywords

identitiesaperiodic monoidsfinitely based varietiescross varietiescommuting idempotents

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Equational logic, Mal'tsev conditions (08B05)

Related Items (6)

A minimal pseudo-complex monoid ⋮ Flat extensions of groups and limit varieties of additively idempotent semirings ⋮ Chain varieties of monoids ⋮ Varieties of monoids with complex lattices of subvarieties ⋮ Monoid varieties with extreme properties ⋮ Limit varieties of aperiodic monoids with commuting idempotents

Cites Work

• Inherently non-finitely generated varieties of aperiodic monoids with central idempotents.
• Cross varieties of aperiodic monoids with central idempotents.
• The lattices of varieties and pseudovarieties of band monoids
• Identities satisfied by a finite ring
• Finiteness properties of varieties and the restriction to finite algebras.
• Almost cross varieties of aperiodic monoids with central idempotents.
• Bases for equational theories of semi-groups
• Identical relations in finite groups
• Varieties generated by 2-testable monoids
• Minimal non-finitely based monoids
• Monoid varieties with extreme properties
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