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Congruences on a bisimple ω-semigroup

Published online by Cambridge University Press:  18 May 2009

W. D. Munn and
N. R. Reilly
W. D. Munn
Affiliation:
University of Glasgow, Glasgow, W.2
N. R. Reilly
Affiliation:
University of Glasgow, Glasgow, W.2
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In a semigroup S the set E of idempotents is partially ordered by the rule that e≦ƒ if and only if eƒ=e=ƒe. We say that S is an ω-semigroup if E={ei: i=0, 1, 2, …}, where

Bisimple ω-semigroups have been classified in [10]. From a group G and an endomorphism α of G a bisimple ω-semigroup S(G, α) can be constructed by a process described below in § 1: moreover, any bisimple ω-semigroup is isomorphic to one of this type.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 7 , Issue 4 , July 1966, pp. 184 - 192
Copyright
Copyright © Glasgow Mathematical Journal Trust 1966

References

REFERENCES

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