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Identities and quasi-identities on lattices of congruences of finite semigroups. (Russian) Zbl 0659.20046
A lattice quasi-identity (identity) is called non-trivial if there exists a lattice on which this quasi-identity (identity) is not true. It is proved that every non-trivial quasi-identity (identity) is not true on the congruence lattice of some finite semigroup.
Reviewer: P.Normak
MSC:
20M05 Free semigroups, generators and relations, word problems
06B25 Free lattices, projective lattices, word problems
08A30 Subalgebras, congruence relations
20M15 Mappings of semigroups
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