Alberto Facchini
University of Padova, Italy

Commutative Krull domains, Krull monoids, and direct sum  decompositions of modules over noncommutative rings.

Abstract: "Commutative Krull domains, their fractional ideals, and their class
group. Krull monoids, their fractional ideals, and their class group. Semilocal
rings and their properties. Goldie dimension and dual Goldie dimension. Modules
with a semilocal endomorphism ring and their properties. The dimension
$\delta$. The Grothendieck monoid of a ring. Weak Krull-Schmidt Theorem. Nearly
simple chain rings. Jordan-Holder Theorem and its generalizations."

Monday, January 27
Wednesday, January 29,
Thursday, January 30, and
Friday, January 31, 2003