Commutative algebra 10 (Weierstrass preparation theorem)
Channel: Richard E Borcherds
Date: 12/08/2020

This lecture is part of an online course on commutative algebra, following the book
"Commutative algebra with a view toward algebraic geometry" by David Eisenbud.

In this lecture we describe a second method of visualizing rings by drawing a point for each basis element of the ring. We give a few applications of this, including a proof that the power series ring k[[x,y]] over a field is a unique factorization domain using the Weierstrass preparation theorem.

Reading: Lectures 9-15 about visualizing rings do not correspond directly to sections of the textbook.
Exercises: