期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1989
卷号：12
DOI：10.1155/S0161171289000086
出版社：Hindawi Publishing Corporation
摘要：Let A be a singly-generated ℱ-algebra. It is shown that A isomorphic to H(Ω)
where Ω is a simply connected domain in ℂ if and only if A has no topological divisors of
zero. It follows from this that there are exactly three ℱ-algebras (up to isomorphism) which
are singly generated and have no topological divisors of zero.
