Mathematical Notes

, Volume 73, Issue 3–4, pp 474–481 | Cite as

Identities of Semigroups of Triangular Matrices over Finite Fields

  • M. V. Volkov
  • I. A. Gol'dberg
Article

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.

finite semigroup finite base property finite field locally finite variety inherently nonfinitely based variety semigroup of triangular matrices 

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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • M. V. Volkov
    • 1
  • I. A. Gol'dberg
    • 1
  1. 1.Ekaterinburg Ural State UniversityRussia

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