Skew Pairs of Idempotents in Transformation Semigroups

An ordered pair (e, f) of idempotents of a regular semigroup is called a skew pair if ef is not idempotent whereas fe is idempotent. We have shown previously that there are four distinct types of skew pairs of idempotents. Here we investigate the ubiquity of such skew pairs in full transformation se...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2006-11, Vol.22 (6), p.1705-1714
Main Authors: Blyth, T. S., Almeida Santos, M. H.
Format: Article
Language:English
Subjects:
Algebraic group theory
Mathematical analysis
Transformations
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Summary:An ordered pair (e, f) of idempotents of a regular semigroup is called a skew pair if ef is not idempotent whereas fe is idempotent. We have shown previously that there are four distinct types of skew pairs of idempotents. Here we investigate the ubiquity of such skew pairs in full transformation semigroups.[PUBLICATION ABSTRACT]
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-005-0703-5