Name: Ralf Fr\"oberg, Stockholm
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\centerline{\bf Title: On the number of ideals of finite colength}
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Abstract: This is joint work with Valentina Barucci, Rome I. If $I$
is an ideal in a commutative ring $R$ and $l_R(R/I)=h$, we say that
$I$ has colength $h$. Maximal ideals have colength one, and there may
be many other ideals of finite colength even in non-Noetherian rings. If
$R$ is a one-dimensional Noetherian domain,
every non-zero ideal has finite colength. We are interested in the class
of rings where there is a finite number of ideals for each finite
colength and how the number of ideals of colength $h$ grows with $h$
for rings in this class.
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