### Atomicity and the Ascending Chain Condition on Principal Ideals

Felix Gotti, Massachusetts Institute of Technology Date: Wednesday, February 22, 5:00 pm. Abstract An integral domain R is atomic if each nonzero nonunit of R factors into irreducibles. Also, an integral domain satisfies the ascending chain condition on principal ideals (ACCP) if every increasing sequence of principal ideals (under inclusion) becomes constant from one point…