Compact completely 0-simple semitopological semigroups

Berglund, John F.

doi:10.1090/S0002-9939-1975-0369598-1

Compact completely $0$-simple semitopological semigroups
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Proc. Amer. Math. Soc. 50 (1975), 483-488 Request permission

Abstract:

A compact semitopological completely $0$-simple semigroup with no proper divisors of zero is a semitopological regular $0$-paragroup. A compact semitopological regular $0$-paragroup has no proper divisors of zero if either indexing set is connected; however, a compact connected regular $0$-paragroup may have zero divisors.

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