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Bisimple Inverse Semigroups as Semigroups of Ordered Triples

Published online by Cambridge University Press:  20 November 2018

N. R. Reilly  and
A. H. Clifford
N. R. Reilly
Affiliation:
Tulane University, New Orleans, Louisiana
A. H. Clifford
Affiliation:
Tulane University, New Orleans, Louisiana
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In (8) and (13) it has been shown that certain bisimple inverse semigroups, called bisimple ω-semigroups and bisimple Z-semigroups, can be represented as semigroups of ordered triples. In these cases, two of the components of each triple are integers, and the third is drawn from a fixed group. This representation is analogous to that given by the theorem of Rees (1, p. 94) concerning completely simple semigroups, and shares the same advantages.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 25 - 39
Copyright
Copyright © Canadian Mathematical Society 1968

Footnotes

The research for this paper was supported in part by NSF Grant GP 1791.

References

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