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Normal-convex embeddings of inverse semigroups

Published online by Cambridge University Press:  18 May 2009

Pedro V. Silva
Pedro V. Silva
Affiliation:
Departamento de MatemáticaUniversidade do Porto4000 PortoPortugal Department of MathematicsUniversity Gardens GlasgowG12 8QW
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Normal-convex embeddings are introduced for inverse semigroups, generalizing the group-theoretic concept, due to Papakyriakopoulos [4]. It is shown that every E-unitary inverse semigroup admits a normal-convex embedding into a semidirect product of a semilattice by a group, a stronger version of a result by O'Carroll [3]. A general embedding result for inverse semigroups is also obtained.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 35 , Issue 1 , January 1993 , pp. 115 - 121
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993

References

REFERENCES

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3.O'Carroll, L., Reduced inverse and partially ordered semigroups, J. London Math. Soc. (2)9 (1974), 293–301.Google Scholar
4.Papakyriakopoulos, C. D., A new proof for the invariance of the homology groups of a complex, Bull. Soc. Math. Grèce 22 (1943), 1–154.Google Scholar
5.Petrich, M., Inverse semigroups, (Wiley, 1984).Google Scholar