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September, 15  Suzana MendesGonçalves (CMATUM)

Given an infinitedimensional vector space , we consider the semigroup consisting of all
injective linear
for which
where
. This is a
linear version of the wellknown BaerLevi semigroup defined on an infinite set where
. Recently, Prof R P Sullivan and I showed that, although the basic properties of are the same as those of
, the two semigroups are never isomorphic. We also determined all left ideals of and some of its
maximal subsemigroups: in this, we followed previous work on by Sutov (1966) and Sullivan (1978) as well as
Levi and Wood (1984). I will discuss some of that work in this talk. 
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