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XIV.—On Isotone Homomorphic Boolean Images of Ordered Semigroups*

Published online by Cambridge University Press:  14 February 2012

T. S. Blyth
T. S. Blyth
Affiliation:
Mathematical Institute, University of St Andrews.
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Synopsis

Necessary and sufficient conditions for an ordered semigroup to admit an isotone homomorphic Boolean image are given together with a complete description of how all such images are obtained. Also discussed are the situations arising from a strengthening of the notion of a homomorphism.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 68 , Issue 3 , 1970 , pp. 211 - 228
Copyright
Copyright © Royal Society of Edinburgh 1970

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References

References to Literature

[1]Birkhoff, G. “Lattice Theory”, Amer. Math. Soc, Colloquium Pubis, 25, New York (second edition, 1948).Google Scholar
[2]Blyth, T. S. “On isotone epimorphisms between ordered semigroups and Boolean algebras”, Glasg. Math. J. [To appear].Google Scholar
[3]Dubreil-Jacotin, M. L., Lesieur, L., Croisot, R.Leçons sur la théorie des treillis, des structures algébriques ordonnées et des treillis géométriques. Paris: Gauthier-Villars.Google Scholar