A Hamiltonian property for nilpotent algebras
type: Item
instance of: scholarly article
title: A Hamiltonian property for nilpotent algebras
zbMATH Open document ID: 0903.08001
published in: Algebra Universalis
publication date: 1998-11-23T00:00:00Z
review text: 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.
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 08A30
Mathematics Subject Classification ID: 20F18
zbMATH DE Number: 1226212
zbMATH Keywords: maximal subalgebra
zbMATH Keywords: quasi-Hamiltonian algebra
zbMATH Keywords: abelian algebra
zbMATH Keywords: left nilpotence
zbMATH Keywords: commutators
zbMATH Keywords: congruence classes
author: Keith A. Kearnes
MaRDI profile type: Publication
full work available at URL: s000120050025
OpenAlex ID: W2078466858
DOI: 10.1007/S000120050025
description: scientific article; zbMATH DE number 1226212