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The order of normalform hypersubstitutions of type (2)

Klaus DeneckeKazem 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].

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