Abstract.
In this paper we show that any finite algebra A satisfying a weak left nilpotence condition has the property that all maximal subuniverses are congruence blocks. Conversely, if every subalgebra of A 2 has the property that all maximal subuniverses are congruence blocks, then A satisfies the aforementioned nilpotence condition.
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Received August 3, 1994; accepted in final form June 27, 1996.
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Kearnes, K. A Hamiltonian property for nilpotent algebras. Algebra univers. 37, 403–421 (1997). https://doi.org/10.1007/s000120050025
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DOI: https://doi.org/10.1007/s000120050025