SMS scnews item created by John Enyang at Tue 3 Sep 2013 1000
Type: Seminar
Distribution: World
Expiry: 6 Sep 2013
Calendar1: 6 Sep 2013 1205-1255
CalLoc1: Carslaw 373
Auth: enyang@penyang.pc (assumed)

# Idempotent generators in partition monoids

### East

###### Speaker:

James East (University of Western Sydney)

###### Title:

Idempotent generators in partition monoids

###### Abstract:

Write $$T$$ and $$S$$ for the full transformation semigroup and the symmetric group on the finite set $$\lbrace 1,\ldots,n\rbrace$$. In 1966, John Howie showed that the complement $$T\setminus S$$, the so-called singular part of $$T$$, is generated by its idempotents. Subsequent work by Howie and others calculated the number of minimal idempotent generating sets for $$T\setminus S$$ and also the rank and idempotent rank of other ideals of $$T$$. In this talk, I'll outline the corresponding results for the partition monoid and some of its submonoids, including the Brauer and Jones monoids. This is joint work with Bob Gray (University of East Anglia).

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We will take the speaker to lunch after the talk.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au

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