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Inverse semigroups as extensions of semilattices

Published online by Cambridge University Press:  18 May 2009

Liam O'Carroll
Liam O'Carroll
Affiliation:
The Mathematical Institute, Edinburgh EH1 1HZ
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Let S be an inverse semigroup with semilattice of idempotents E, and let ρ be a congruence on S. Then ρ is said to be idempotent-determined [2], or I.D. for short, if (a, b) ∈ р and a∈E imply that b ∈ E. If, further, ρ is a group congruence, then clearly ρ is the minimum group congruence on S, and in this case S is said to be proper [8]. Let T = S/ρ.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 16 , Issue 1 , March 1975 , pp. 12 - 21
Copyright
Copyright © Glasgow Mathematical Journal Trust 1975

References

REFERENCES

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