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Eventually regular semigroups that are group-bound

Published online by Cambridge University Press:  17 April 2009

P. M. Edwards
P. M. Edwards
Affiliation:
Department of Econometrics, Monash University, Clayton, Victoria 3168, Australia.
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Abstract

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Necessary and sufficient conditions are given for certain classes of eventually regular semigroups to the group-bound or even periodic.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 1 , August 1986 , pp. 127 - 132
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Clifford, A. H. and Preston, G. B., The algebraic theory of semi-groups, Vol. I. (Mathematical Surveys, 7. Amer. Math. Soc., Providence, R. I. 1961).Google Scholar
[2]Clifford, A. H. and Preston, G. B., The algebraic theory of semi-groups, Vol. II. (Mathematical Surveys, 7. Amer. Math. Soc., Providence, R.I., 1967).Google Scholar
[3]Edwards, P. M., “Eventually regular semigroups,” Bull. Austral. Math. Soc. 28 (1983), 23–38.CrossRefGoogle Scholar
[4]Edwards, P. M., “Fundamental semigroups,” Proc. Roy. Soc.Edinburgh Sect. A 99 (1985), 313–317.CrossRefGoogle Scholar
[5]Hall, T. E., “On regular semigroups,” J. Algebra 24 (1973), 1–24.CrossRefGoogle Scholar
[6]Hall, T. E. and Munn, W. D., “Semigroups satisfying minimal conditions II,” Glasgow Math. J. 20 (1979), 133–140.CrossRefGoogle Scholar