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The egg-box property of congruences. (English) Zbl 0649.08002
The paper contains Mal’tsev type conditions under which a variety with directly decomposable congruence classes has the Fraser-Horn property. Such varieties are e.g. modular ones.
Reviewer: I.Chajda

MSC:
08B05 Equational logic, Mal’tsev conditions
08B10 Congruence modularity, congruence distributivity
08A30 Subalgebras, congruence relations
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References:
[1] DAY A.: A characterization of modularity for congruences lattices of algebras. Canad. Math. Bull. 12, 1969, 167-173. · Zbl 0181.02302
[2] DUDA J.: Varieties having directly decomposable congruence classes. Časop. pěst. matem. 111, 1986, 394-403. · Zbl 0606.08001
[3] FRASER G. A., HORN A.: Congruence relations in direct products. Proc. Amer. Math. Soc. 26, 1970, 390-394. · Zbl 0241.08004
[4] HAGEMAN J., MITSCHKE A.: On n-permutable congruences. Algebra Univ. 3, 1973, 8-12. · Zbl 0273.08001
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