On the rank of the Rees–Sushkevich varieties

DOI10.1090/S1061-0022-2012-01214-8zbMath1284.20066MaRDI QIDQ2849066

S. I. Kublanovsky

Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

completely 0-simple semigroupsbases of identitiespermutation identitiesfinitely based semigroupsRees-Sushkevich varietiesvarieties of semigroupsexact varietiessmall varietiesCross semigroups

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05)

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Cites Work

• Lattices of semigroup varieties
• Upper-modular elements of the lattice of semigroup varieties
• Algorithmic problems for finite groups and finite \(0\)-simple semigroups
• Computational complexity of checking identities in 0-simple semigroups and matrix semigroups over finite fields
• Identical relations in finite groups
• COMBINATORIAL REES–SUSHKEVICH VARIETIES ARE FINITELY BASED
• VARIETIES GENERATED BY COMPLETELY 0-SIMPLE SEMIGROUPS
• COMBINATORIAL REES–SUSHKEVICH VARIETIES THAT ARE CROSS, FINITELY GENERATED, OR SMALL
• THE PERKINS SEMIGROUP HAS CO-NP-COMPLETE TERM-EQUIVALENCE PROBLEM
• SUBVARIETIES OF THE VARIETY GENERATED BY THE FIVE-ELEMENT BRANDT SEMIGROUP
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