No CrossRef data available.
Article contents
On when a topologically simple semigroup is simple
Published online by Cambridge University Press: 09 April 2009
Abstract
The compact semigroups in which each topologically simple subsemigroup is simple are characterized as those in which no subgroup sontains an element of infinite order. It is also shown that a locally compact toplogically simple subsemigroup of a compact semigroup must be simple. The note closes with an open problem.
Subject classification (Amer. Math. Soc. (MOS) 1970): primary 22 A 15; secondary 20 M 10.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1978