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Strongly E-reflexive inverse semigroups

Published online by Cambridge University Press:  20 January 2009

L. O'Carroll
L. O'Carroll
Affiliation:
Department of MathematicsThe King's BuildingsEdinburgh, EH9 3J2
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Let S be an inverse semigroup with semilattice of idempotents E. We denote by σ the minimum group congruence on S (6), and by τ the maximum idempotent-determined congruence on S (2). (Recall that the congruence η on S is called idempotent-determined if (e, x)∈ η and e ∈ E imply that x ∈ E.) In general τ ⊆ σ.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 4 , September 1977 , pp. 339 - 354
Copyright
Copyright © Edinburgh Mathematical Society 1977

References

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