A NEW METHOD IN THE FINITE BASIS PROBLEM WITH APPLICATIONS TO RANK 2 TRANSFORMATION SEMIGROUPS

DOI10.1142/S0218196707004232zbMath1159.20032MaRDI QIDQ3502835

Grigory Mashevitzky

Publication date: 20 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

Rees matrix semigroupscirculant graphssemigroup identitiesnon-finitely based semigroupsidentity basestransformations of rank 2

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Varieties and pseudovarieties of semigroups (20M07)

Related Items (1)

Bases of identities for semigroups of bounded rank transformations of a set.

Cites Work

• On bases of completely simple semigroup identities
• Completely simple and completely 0-simple semigroup identities
• Completely O-simple semigroups and their associated graphs and groups
• Identities of a five-element \(0\)-simple semigroup
• Bases for equational theories of semi-groups
• An example of a finite semigroup without an irreducible basis of identities in the class of completelyo-simple semigroups
• Matrix rank 1 semigroup identities
• On finite 0-simple semigroups and graph theory

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