An Overview of Factorization: Algebraic and Graphical
Document Type
Lecture
Publication Date
10-11-2013
Abstract
Since about 1990, there has been a large amount of effort devoted to the study of factorization in integral domains (as well as in other structures). Much of this study can be interpreted as an attempt to understand how the multiplicative structure of an integral domain “works” when we do not have unique factorization. A classical example is the class group, the size and complexity of which may be interpreted as a measure of “how far” a (Krull) domain is from being a Unique Factorization Domain. The aim of this talk will be to give an overview of recent factorization theory. We will highlight some basic definitions, examples, and results. We will also highlight some more recent results that lend themselves to visualizations and have interesting connections to graph theory.
Relational Format
presentation
Recommended Citation
Coykendall, Jim, "An Overview of Factorization: Algebraic and Graphical" (2013). Algebra/Number Theory Seminar. 41.
https://egrove.olemiss.edu/math_algebra_number_theory/41
