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Shum, Kar-Ping

Some remarks on topologically semiprime ideals. (English) Zbl 0546.22005

Czech. Math. J. 34(109), 126-129 (1984).
This paper is concerned with topological generalizations of the intersection properties of prime ideals for algebraic semigroups. An ideal of S, a topological semigroup, is said to be topologically semiprime if it fails to intersect those compact monothetic sub- semigroups which it does not contain. Then the main result is: An ideal of a compact semigroup is topologically semiprime if and only if it is an intersection of open completely prime ideals.
Reviewer: N.Backhouse

MSC:

22A15 Structure of topological semigroups

Keywords:

semiprime ideals; compact semigroup; group ideal; open prime ideals; topological semigroup; completely prime ideals
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\textit{K.-P. Shum}, Czech. Math. J. 34(109), 126--129 (1984; Zbl 0546.22005)
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