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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Compact completely 0-simple semitopological semigroups


Author: John F. Berglund
Journal: Proc. Amer. Math. Soc. 50 (1975), 483-488
MSC: Primary 22A15
MathSciNet review: 0369598
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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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DOI: https://doi.org/10.1090/S0002-9939-1975-0369598-1
Article copyright: © Copyright 1975 American Mathematical Society