A Hamiltonian property for nilpotent algebras (Q1272120)
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scientific article; zbMATH DE number 1226212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Hamiltonian property for nilpotent algebras |
scientific article; zbMATH DE number 1226212 |
Statements
A Hamiltonian property for nilpotent algebras (English)
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23 November 1998
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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.
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maximal subalgebra
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quasi-Hamiltonian algebra
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abelian algebra
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left nilpotence
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commutators
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congruence classes
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