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Identities of Semigroups of Triangular Matrices over Finite Fields
Authors:Volkov  M. V.  Gol'dberg  I. A.
Affiliation:(1) Ekaterinburg Ural State University, Russia
Abstract:
It is proved that the semigroup of all triangular n × n matrices over a finite field K is inherently nonfinitely based if and only if n > 3 and |K|> 2.
Keywords:finite semigroup  finite base property  finite field  locally finite variety  inherently nonfinitely based variety  semigroup of triangular matrices
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