Lie algebras with the minimal condition on centralizer ideals
type: Item
instance of: scholarly article
title: Lie algebras with the minimal condition on centralizer ideals
zbMATH Open document ID: 0697.17010
author: Falih A. M. Aldosray
author: Ian Stewart
published in: Hiroshima Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The authors develop the theory of Lie algebras with minimal condition on centralizer ideals. This class is not closed under extensions, quotients or taking of ideals. Abelian-by-finite Lie algebras always satisfy this condition. For semisimple Lie algebras satisfying this condition, maximal centralizer ideals are the same as minimal prime ideals and every centralizer ideal is the intersection of maximal centralizer ideals. The paper concludes with several open questions.
reviewed by: Ernest L. Stitzinger
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 4142275
zbMATH Keywords: minimal condition on centralizer ideals
zbMATH Keywords: maximal centralizer ideals
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206129399
OpenAlex ID: W1927167676
Wikidata QID: Q128870496
DOI: 10.32917/HMJ/1206129399
description: scientific article; zbMATH DE number 4142275