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The Structure of Normal Inverse Semigroups

Published online by Cambridge University Press:  18 May 2009

G. B. Preston
G. B. Preston
Affiliation:
Royal Military College of Science, Shrivenham
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In a recent paper [1] we showed that there is a (1,) -correspondence between the homomorphisms of an inverse semigroup S and its normal subsemigroups. The normal subsemigroup of S corresponding to and determining the homomorphism μ of S is the inverse image under μ of the set of idempotents of Sμ and is called the kernel of the homomorphism μ. The inverse image of each idempotent of Sμ is itself an inverse semigroup [1], and each such inverse semigroup is said to be a component of the normal subsemigroup determined by μ.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 1 , December 1956 , pp. 1 - 9
Copyright
Copyright © Glasgow Mathematical Journal Trust 1956

References

REFERENCES

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