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The pseudovariety of semigroups of triangular matrices over a finite field

Published online by Cambridge University Press:  15 March 2005

Jorge Almeida ,
Stuart W. Margolis  and
Mikhail V. Volkov
Jorge Almeida
Affiliation:
Departamento de Matemática Pura, Faculdade de Ciências, Universidade do Porto, 4169-007 Porto, Portugal; jalmeida@fc.up.pt
Stuart W. Margolis
Affiliation:
Department of Mathematics, Bar Ilan University, 52900 Ramat Gan, Israel; margolis@math.biu.ac.il
Mikhail V. Volkov
Affiliation:
Department of Mathematics and Mechanics, Ural State University, 620083 Ekaterinburg, Russia; Mikhail.Volkov@usu.ru
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Abstract

We show that semigroups representable by triangular matrices over a fixed finite field form a decidable pseudovariety and provide a finite pseudoidentity basis for it.

Keywords

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 39 , Issue 1: Imre Simon, the tropical computer scientist , January 2005 , pp. 31 - 48
Copyright
© EDP Sciences, 2005

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