Ascendant subalgebras of hyperfinite Lie algebras
type: Item
instance of: scholarly article
title: Ascendant subalgebras of hyperfinite Lie algebras
zbMATH Open document ID: 0754.17019
author: Masanobu Honda
published in: Hiroshima Mathematical Journal
publication date: 1992-09-27T00:00:00Z
review text: If \(H\) is a subalgebra of a hyperfinite Lie algebra \(L\) the author proves that \(H\) is ascendant (weakly ascendant) if and only if it is serial (weakly serial) and that the intersection of any family of ascendant (weakly ascendant) subalgebras of \(L\) is ascendant (weakly ascendant). It is also shown that in a hyperfinite-by-abelian Lie algebra over a field of characteristic zero, the join and the intersection of any family of ascendant subalgebras is always ascendant.
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 17B05
zbMATH DE Number: 63000
zbMATH Keywords: hyperfinite Lie algebra
zbMATH Keywords: hyperfinite-by-abelian Lie algebra
zbMATH Keywords: ascendant subalgebras
reviewed by: Melih Boral
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 63000