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Normal partitions of idempotents of regular semigroups

Published online by Cambridge University Press:  09 April 2009

P. G. Trotter
P. G. Trotter
Affiliation:
Department of Mathematics University of TasmaniaHobart, TasmaniaAustralia
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Abstract

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A characterization is provided here for any normal partition of the set of idempotents of a regular semigroup S. As a by-product of the method used, a new characterization of the greatest congruence on S corresponding to a given normal partition of its idempotents is obtained.

Subject classification (Amer. Math. Soc. (MOS) 1970): 20 M 10.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 1 , August 1978 , pp. 110 - 114
Copyright
Copyright © Australian Mathematical Society 1978

References

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Hall, T. E. (1973), “On regular semigroups”, J. Algebra 24, 1–24.CrossRefGoogle Scholar
Nambooripad, K. S. S. (1974), “Structure of regular semigroups I”, Semigroup Forum 9, 354–363.CrossRefGoogle Scholar