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Lattice of idempotent separating congruences in a ℙ-regular semigroup

Published online by Cambridge University Press:  17 April 2009

M.K. Sen  and
A. Seth
M.K. Sen
Affiliation:
Department of Pure MathematicsUniversity of Calcutta35, Ballygunge Circular Road Calcutta – 700019India
A. Seth
Affiliation:
Department of Pure MathematicsUniversity of Calcutta35, Ballygunge Circular Road Calcutta – 700019India
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Abstract

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In this paper we introduce the concept of ℙ-regular, normal subset of a ℙ-regular semigroup, give an alternate characterisation of the maximum idempotent separating congruence in a ℙ-regular semigroup and finally describe the lattice of the idempotent separating congruences in a ℙ-regular semigroup.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 3 , June 1992 , pp. 483 - 488
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Feigenbaum, R., ‘Kernels of orthodox semigroup homomorphisms’, J. Austral. Math. Soc. 22 (1976), 234–245.CrossRefGoogle Scholar
[2]Howie, J.M., An introduction to semigroup theory (Academic Press, London, 1976).Google Scholar
[3]Yamada, M., ‘Note on the construction of regular *-semigroups’, Mem. Fac. Sci. Shimane Univ. 15 (1981), 17–22.Google Scholar
[4]Yamada, M. and Sen, M.K., ‘ℙ-regularity in semigroups’, Mem. Fac. Sci. Shimane Univ. 21 (1987), 47–54.Google Scholar
[5]Yamada, M. and Sen, M.K., ‘ℙ-regular semigroups’, Semigroup Forum 39 (1989), 157–178.CrossRefGoogle Scholar