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A Hamiltonian property for nilpotent algebras. (English) Zbl 0903.08001

Applying the theory of commutators, it is shown that any finite algebra \(A\) satisfying a weak left nilpotence condition has the quasi-Hamiltonian property, i.e. all its maximal subuniverses are congruence classes. Also, conversely, if every subalgebra of \(A^2\) is quasi-Hamiltonian then \(A\) satisfies the aforementioned nilpotence condition.
Reviewer: I.Chajda (Olomouc)

MSC:

08A30 Subalgebras, congruence relations
20F18 Nilpotent groups
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