Abstract
An SC-theory for a variety V is the collection of all strong Mal'tsev conditions satisfied in V. We prove that the SC-theory for the Cantor variety C2,defined in the signature {n, l, r}by three identities ln(x, y) =x, rn(x, y) =y, and n(lx, rx) =x, has a basis (i.e., an independent generating set) of any finite length.
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