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Congruences on simple ω-semigroups

Published online by Cambridge University Press:  18 May 2009

Mario Petrich
Affiliation:
Université de Montpellier, France
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An inverse semigroup whose idempotents form an ω-chain e0 > e1 > e2 > … is called briefly an ω-semigroup. A structure theorem for simple ω-semigroups was established by Kočin [7]; a related structure theorem for simple, and also general, ω-semigroups was proved by Munn [10]. These results represent an extension of the structure theorem for bisimple a ω-semigroups due to Reilly [14].

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1979