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Congruences induced by transitive representations of inverse semigroups

Published online by Cambridge University Press:  18 May 2009

Mario Petrich  and
Stuart Rankin
Mario Petrich
Affiliation:
University of Western Ontario, London, Canada
Stuart Rankin
Affiliation:
University of Western Ontario, London, Canada
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Transitive group representations have their analogue for inverse semigroups as discovered by Schein [7]. The right cosets in the group case find their counterpart in the right ω-cosets and the symmetric inverse semigroup plays the role of the symmetric group. The general theory developed by Schein admits a special case discovered independently by Ponizovskiǐ [4] and Reilly [5]. For a discussion of this topic, see [1, §7.3] and [2, Chapter IV].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 1 , January 1987 , pp. 21 - 40
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

References

REFERENCES

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