Uncountable chains and antichains of varieties of Banach algebras
type: Item
instance of: scholarly article
title: Uncountable chains and antichains of varieties of Banach algebras
zbMATH Open document ID: 0807.46050
DOI: 10.1016/0022-247X(92)90198-M
published in: Journal of Mathematical Analysis and Applications
publication date: 1993-04-01T00:00:00Z
review text: A variety of Banach algebras is a nonempty class of Banach algebras closed under taking closed subalgebras, quotient algebras, products and images under isometric isomorphisms. The purpose of this paper is to study the structure of the lattice of all varieties of Banach algebras: upper and lower bounds, chains, etc.
Mathematics Subject Classification ID: 46H05
zbMATH DE Number: 150585
zbMATH Keywords: subalgebras
zbMATH Keywords: quotient algebras
zbMATH Keywords: products
zbMATH Keywords: images under isometric isomorphisms
zbMATH Keywords: lattice of all varieties of Banach algebras
author: M. H. Faroughi
reviewed by: H. Hogbe Nlend
MaRDI profile type: Publication
cites work: Q5515373
cites work: VARIETIES OF BANACH ALGEBRAS
cites work: A characterisation of closed subalgebras of
cites work: Q5600360
cites work: Q4767809
full work available at URL: 0022-247x(92)90198-m
OpenAlex ID: W2079650256
description: scientific article; zbMATH DE number 150585