ON THE VARIETY GENERATED BY THE MONOID OF TRIANGULAR 2×2 MATRICES OVER A TWO-ELEMENT FIELD

DOI10.1017/S0004972712000366zbMath1260.20076OpenAlexW2074317199MaRDI QIDQ2907022

Jian-Rong Li, Wen Ting Zhang, Yan-Feng Luo

Publication date: 5 September 2012

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

Full work available at URL: https://doi.org/10.1017/s0004972712000366

zbMATH Keywords

finite fieldssemigroup varietiesfinite basis probleminherently nonfinitely based varietiesfinite bases of identitiesmaximal subvarietiessemigroups of triangular matrices

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Equational logic, Mal'tsev conditions (08B05)

Related Items (5)

The finite basis problem for infinite involution semigroups of triangular \(2 \times 2\) matrices ⋮ THE FINITE BASIS PROBLEM FOR THE MONOID OF TWO-BY-TWO UPPER TRIANGULAR TROPICAL MATRICES ⋮ A non-finitely based involution semigroup of order five ⋮ Hereditarily finitely based semigroups of triangular matrices over finite fields. ⋮ THE FINITE BASIS PROBLEM FOR INVOLUTION SEMIGROUPS OF TRIANGULAR MATRICES

Cites Work

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• Finite basis problem for 2-testable monoids.
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• On the variety generated by all semigroups of order three.
• Varieties generated by semigroups of order four
• On two classes of hereditarily finitely based semigroup identities
• On certain finitely based varieties of semigroups
• Small semigroups generating varieties with continuum many subvarieties.
• EQUATIONAL PROPERTY OF CERTAIN TRANSFORMATION MONOIDS
• COMBINATORIAL REES–SUSHKEVICH VARIETIES ARE FINITELY BASED
• THE VARIETY GENERATED BY A CERTAIN TRANSFORMATION MONOID
• TARSKI’S FINITE BASIS PROBLEM IS UNDECIDABLE

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