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The order of normalform hypersubstitutions of type (2)

Klaus Denecke, Kazem Mahdavi (2000)

Discussiones Mathematicae - General Algebra and Applications

In [2] it was proved that all hypersubstitutions of type τ = (2) which are not idempotent and are different from the hypersubstitution whichmaps the binary operation symbol f to the binary term f(y,x) haveinfinite order. In this paper we consider the order of hypersubstitutionswithin given varieties of semigroups. For the theory of hypersubstitution see [3].

The pseudovariety of semigroups of triangular matrices over a finite field

Jorge Almeida, Stuart W. Margolis, Mikhail V. Volkov (2005)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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.

Currently displaying 2161 – 2180 of 2557