On the axiomatic rank of varieties generated by a semigroup or monoid with one defining relation

DOI10.1007/BF02573281zbMath0671.20056OpenAlexW2012370060MaRDI QIDQ1119746

Shneerson, L. M.

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/134971

zbMATH Keywords

varieties of semigroupsfinitely basedfinite axiomatic rankfinitely based monoid varietyfinitely- generated semigroup

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07)

Related Items (19)

Identities of the Kauffman Monoid $$\mathcal {K}_4$$ and of the Jones Monoid $$\mathcal {J}_4$$ ⋮ The finite basis problem for words with at most two non-linear variables. ⋮ THE FINITE BASIS PROBLEM FOR THE MONOID OF TWO-BY-TWO UPPER TRIANGULAR TROPICAL MATRICES ⋮ The identities of the free product of two trivial semigroups ⋮ A note on the finite basis and finite rank properties for pseudovarieties of semigroups ⋮ Geometry and algorithms for upper triangular tropical matrix identities ⋮ Representations and identities of Baxter monoids with involution ⋮ Representations and identities of hypoplactic monoids with involution ⋮ Identities and bases in the Sylvester and Baxter monoids ⋮ Identities in upper triangular tropical matrix semigroups and the bicyclic monoid ⋮ Sets of lengths in atomic unit-cancellative finitely presented monoids ⋮ Identities in unitriangular and gossip monoids ⋮ Completely regular semigroups in the variety generated by the bicyclic semigroup ⋮ Equational theories of upper triangular tropical matrix semigroups ⋮ Non-finitely based monoids. ⋮ The finite basis problem for Kauffman monoids. ⋮ Polyhedral convex cones and the equational theory of the bicyclic semigroup ⋮ THE SEMIGROUPS B₂ AND B₀ ARE INHERENTLY NONFINITELY BASED, AS RESTRICTION SEMIGROUPS ⋮ Identities and bases in the hypoplactic monoid

Cites Work

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• The finite basis question for semigroups of order less than six
• Period, index and potential \(\text Ш\)
• On the laws of a metabelian variety
• Bases for equational theories of semi-groups
• The Brauer-Manin Obstruction and III[2]

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