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Proper embeddability of inverse semigroups

Published online by Cambridge University Press:  17 April 2009

A. Shehadah
A. Shehadah
Affiliation:
Department of Mathematics, Yarmouk University, Irbid, Jordan
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Abstract

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Let S be an inverse semigroup. We prove that there is a ring with a proper involution * in which S is *-embeddable. The ring will be a natural one, R[S], the semigroup ring of S over any formally complex ring R; for example ℝ, Ȼ.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 3 , December 1986 , pp. 383 - 387
Copyright
Copyright © Australian Mathematical Society 1986

References

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[3]Drazin, M., “Natural Structures on Rings and Semigroups with Involution”, (To appear).Google Scholar
[4]Shehadah, A., Embedding Theorems for Semigroups with Involution, Ph.D Thesis, Purdue University, West Lafayette, Indiana, (1982).Google Scholar
[5]Shehadah, A., “A Counter Example on *-embeddability into Proper *-rings”, (To appear).Google Scholar