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Left-edge solid varieties of differential groupoids

Arworn Sr., Denecke K.

Demonstratio Mathematica

1999

Vol. 32, nr 1

1-11

An identity s=t is called a hyperidentity in a variety V if by substituting terms of appropriate arity for the operation symbols in s=t, one obtains an identity satisfied in V. Such substitutions are called hypersubstitutions. In the paper we consider hyperidentities and hypersubstitutions in the variety of differential groupoids, certain idempotent and medial groupoids. differential groupoids are modes as defined in [Rom-S;85]. We show that this variety and all its subvarieties are left-edge solid.