Monday, March 21, 2016 1:00 pm
-
1:00 pm
EDT (GMT -04:00)
Blake Madill, Department of Pure Mathematics, University of Waterloo
"Köthe's conjecture, ideals, radicals, and all things nil"
In
this
talk
we
present
one
of
the
most
famous
open
problems
in
ring
theory:
Köthe's
Conjecture.
In
1930,
Köthe
conjectured
that
if
a
ring
R
has
no
nonzero
nil
ideals
then
R
has
no
nonzero
nil
right
(or
left)
ideals.
As
we
shall
see,
this
is
equivalent
to
numerous
related
statements
involving
nil
ideals,
nil
radicals,
and
radicals
of
related
rings.
We
give
arguments
both
for
and
against
the
conjecture
of
Köthe.
If
we
solve
this
open
problem
during
the
colloquium,
we
will
all
get
jobs.
#unlikely
#openproblems
#90yearoldproblem
M3-2134