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Characterizations of Hamiltonian algebras. (English) Zbl 0778.08001
An algebra $$A$$ is Hamiltonian if each of its subalgebras is a congruence class of some congruence on $$A$$. If $$A$$ is an algebra with a nullary operation, then $$A$$ is Hamiltonian iff it satisfies two simple conditions formulated in a unary algebraic function and a binary polynomial. If, moreover, $$A$$ is $$n$$-permutable then only one of these conditions is necessary.
Reviewer: I.Chajda (Přerov)

##### MSC:
 08A30 Subalgebras, congruence relations
##### Keywords:
congruence relation; Hamiltonian algebra
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##### References:
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