Finiteness properties of varieties and the restriction to finite algebras.

From MaRDI portal
Publication:1780019

DOI10.1007/s00233-004-0161-xzbMath1073.20052OpenAlexW1963603096MaRDI QIDQ1780019

Marcel Jackson

Publication date: 6 June 2005

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

Full work available at URL: https://doi.org/10.1007/s00233-004-0161-x




Related Items

The finite basis problem for words with at most two non-linear variables.Erratum to: ``Finiteness properties of varieties and the restriction to finite algebrasThe Division Relation: Congruence Conditions and AxiomatisabilityOn join irreducible \(J\)-trivial semigroupsSpecial elements of the lattice of monoid varietiesClassification of limit varieties of 𝒥-trivial monoidsConstraint satisfaction, irredundant axiomatisability and continuous colouringA minimal pseudo-complex monoidClassification of finitely based words in a class of words over a \(3\)-letter alphabet.On the finite basis problem for certain 2-limited words.Existence of a new limit variety of aperiodic monoidsAlmost cross varieties of aperiodic monoids with central idempotents.Limit varieties generated by finite non-J-trivial aperiodic monoidsFlat extensions of groups and limit varieties of additively idempotent semiringsVarieties of aperiodic monoids with central idempotents whose subvariety lattice is distributiveChain varieties of monoidsVarieties of monoids with complex lattices of subvarietiesFlat algebras and the translation of universal Horn logic to equational logicCross varieties of aperiodic monoids with central idempotents.Monoid varieties with extreme propertiesCancellable elements of the lattice of monoid varietiesInherently non-finitely generated varieties of aperiodic monoids with central idempotents.LEE MONOIDS ARE NONFINITELY BASED WHILE THE SETS OF THEIR ISOTERMS ARE FINITELY BASEDLimit varieties of aperiodic monoids with commuting idempotentsLee monoid \(L_4^1\) is non-finitely basedOn certain cross varieties of aperiodic monoids with commuting idempotents.Finitely based sets of 2-limited block-2-simple wordsTwo weaker variants of congruence permutability for monoid varietiesFrom \(A\) to \(B\) to \(Z\)Limit varieties of \(J\)-trivial monoidsNon-finitely based monoids.Finitely based monoids.A SUFFICIENT CONDITION UNDER WHICH A SEMIGROUP IS NONFINITELY BASEDFINITELY GENERATED LIMIT VARIETIES OF APERIODIC MONOIDS WITH CENTRAL IDEMPOTENTSThe lattice of varieties of monoidsFinitely generated equational classes