A Hamiltonian property for nilpotent algebras
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.
scientific article; zbMATH DE number 1226212