Skew pairs of idempotents in transformation semigroups

T. S. Blyth; M. H. Almeida Santos

doi:10.1007/s10114-005-0703-5

Skew pairs of idempotents in transformation semigroups

T. S. Blyth, M. H. Almeida Santos

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1705-1714
Number of pages	10
Journal	Acta Mathematica Sinica-English Series
Volume	22
DOIs	https://doi.org/10.1007/s10114-005-0703-5
Publication status	Published - Nov 2006

Keywords

full transformation semigroups
idempotents
skew pairs
REGULAR-SEMIGROUPS

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10.1007/s10114-005-0703-5

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AU - Almeida Santos, M. H.

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AB - 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.

KW - full transformation semigroups

KW - idempotents

KW - skew pairs

KW - REGULAR-SEMIGROUPS

U2 - 10.1007/s10114-005-0703-5

DO - 10.1007/s10114-005-0703-5

M3 - Article

SN - 1439-7617

VL - 22

SP - 1705

EP - 1714

JO - Acta Mathematica Sinica-English Series

JF - Acta Mathematica Sinica-English Series

ER -

Skew pairs of idempotents in transformation semigroups

Abstract

Keywords

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