A common generalization of permutability and 0-permutability. (English) Zbl 1038.08004

Summary: We present a congruence property which is a common generalization of congruence permutability and \(0\)-permutability. We characterize varieties of algebras satisfying this property by a Mal’tsev-type condition as well as by a relational condition. Examples of such varieties are included.


08B05 Equational logic, Mal’tsev conditions
08A30 Subalgebras, congruence relations
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[1] Bělohlávek R., Chajda I.: The intermediate property between local permutability and permutability. General Algebra and Applications, Proc. of the 59th Workshop on General Algebra, Potsdam, 2000 (Shaker Verlag), 19-24.
[2] Gumm H.-P., Ursini A.: Ideals in universal algebras. Algebra Universalis 19 (1984), 45-54. · Zbl 0547.08001
[3] Mal’cev A. I.: On the general theory of algebraic systems. Matem. Sbornik 35 (1954), 3-20)
[4] Werner H.: A Mal’cev condition for admissible relations. Algebra Universalis 3 (1973), 263. · Zbl 0276.08004
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