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31.—Dubreil-Jacotin Inverse 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

In this paper we determine the structure of some new types of ordered inverse semigroup in which the ordering need not be the natural ordering. In particular, we generalise some results of McFadden and O'Carroll on F-inverse semigroups.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 71 , Issue 4 , 1974 , pp. 345 - 360
Copyright
Copyright © Royal Society of Edinburgh 1974

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References

References to Literature

[1]Blyth, T. S. and Janowitz, M. F., 1972. Residuation Theory. Int. Ser. Monogr. Pure Appl. Math., 102. Pergamem.Google Scholar
[2]Blyth, T. S., 1969. On the greatest isotone homomorphic group image of an inverse semigroup. J. Lond. Math. Soc., 1, 260–264.Google Scholar
[3]Blyth, T. S., 1969. Residuated inverse semigroups. J. Lond. Math. Soc., 1, 243–248.CrossRefGoogle Scholar
[4]Clifford, A. H. and Preston, G. B., 1961, 1967. The Algebraic Theory of Semigroups. Amer. Math. Soc. Surv. 7, vols. 1 and 2.CrossRefGoogle Scholar
[5]McFadden, R. and O'Carroll, L., 1971. F-inverse semigroups. Proc. Lond. Math. Soc., 22, 652–666.Google Scholar
[6]Saito, T., 1965. Proper ordered inverse semigroups. Pacif. J. Math., 15, 649–666.Google Scholar
[7]Saito, T., 1971. Ordered inverse semigroups. Trans. Amer. Math. Soc., 153, 99–138.CrossRefGoogle Scholar