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Loop conditions. (English) Zbl 1528.08009

Summary: We prove that a weakest non-trivial strong Maltsev condition given by a single identity of the form \(t(\mathrm{variables}) = t(\mathrm{variables})\) is the existence of a term \(s\) satisfying \(s(x,y,y,z,z,x)=s(y,x,z,y,x,z)\).

MSC:

08B05 Equational logic, Mal’tsev conditions
08B20 Free algebras

References:

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