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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

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