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Extensions of I-Bisimple Semigroups

Published online by Cambridge University Press:  20 November 2018

R. J. Warne
R. J. Warne*
Affiliation:
West Virginia University, Morgantown, West Virginia
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A bisimple semigroup S is called I-bisimple if Es, the set of idempotents of S, with its natural order is order-isomorphic to I, the set of integers, under the reverse of the usual order. In (9), the author completely determined the structure of I-bisimple semigroups mod groups; in this paper, he also gave an isomorphism theorem, a homomorphism theorem, an explicit determination of the maximal group homomorphic image, and a complete determination of the congruences for these semigroups.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 419 - 426
Copyright
Copyright © Canadian Mathematical Society 1967

References

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3. Warne, R. J., A characterization of certain regular d-classes in semi-groups, Illinois J. Math., 9 (1965), 304–306.Google Scholar
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6. Warne, R. J., A class of bisimple inverse semigroups, Pacific J. Math., to appear.Google Scholar
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