The degrees of regularity in varieties. (English) Zbl 0955.08005

Summary: Congruence regular varieties are characterized by a Mal’tsev condition containing \(m\)-ary terms. We prove that this number \(m\) is the degree of regularity, i.e. the number of elements which generate the congruence class of every principal congruence.


08B05 Equational logic, Mal’tsev conditions
08A30 Subalgebras, congruence relations
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