## Ideal class (semi)groups and factorization in Prüfer domains

#### Richard Hasenauer – Northeastern State University

The ideal class group helps explain factorization properties in Dedekind domain. Can we use the ideal class group to gain information about factorization in generalizations of Dedekind domain? After exploring this question, we will turn our attention to the task of computing an ideal class semigroup. We will then discuss what information about factorization can be obtained from the ideal class semigroup.

Refreshments at 3:00 in the Martin-O foyer