REGULAR WEAK PROJECTION HYPERSUBSTITUTIONS

Thawhat Changphas, Wonlop Hemvong · Asian-European Journal of Mathematics · 2012

It is known that there is a Galois connection between submonoids of the monoid consisting of all hypersubstitutions and complete sublattices of the lattice of all varieties of the same type. It is of interest to know which semigroup properties of hypersubstitutions can be transferred by this Galois connection. In this paper, we characterize regular weak projection hypersubstitutions of all mappings from the set of operation symbols to the set of terms which preserve arities type (2,2).

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