\titleofpresentation{Modules with Ascending Chain Condition on Submodules with a
Bounded Number of Generators}

\presenter{Patrick Smith}  %  Name just one speaker, please; collaborators
			%  can be credited in the body of the abstract.

 Given a positive integer $n$, a module satisfies
$n$-acc provided every ascending chain condition of $n$-generated
submodules terminates. This notion seems to have arisen first in
the theory of Abelian groups and the Baumslag brothers generalized
it to more general groups and to other algebraic systems. We shall
consider it in the context of modules. A typical theorem is that
if $R$ is a commutative Noetherian one-dimensional domain then
every direct sum of cyclic $R$-modules satisfies $n$-acc for every
positive integer $n$. On the other hand if $R$ is a (not
necessarily commutative) right and left Noetherian ring then every
direct product of copies of the right $R$-module $R$ satisfies
$n$-acc for every positive integer $n$.
\presenteraddress{}  % The name of a university is fine.

\presenteraddress{University of Glasgow}

\email{pfs@maths.gla.ac.uk}

