ABSTRACT

The contents in this work are taken from both the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa City. The text gathers current work on factorization in integral domains and monoids, and the theory of divisibility, emphasizing possible different lengths of factorization into irreducible elements.

chapter |33 pages

The Theory of Divisibility

chapter |11 pages

On Flat Divided Prime Ideals

chapter |10 pages

On Henselian Pullbacks

chapter |12 pages

Almost Generalized GCD-Domains