3:45PM: Surjections of unit groups and semi-inverses
Justin ChenIn this talk, I will address two seemingly unrelated questions: (1) When does a ring surjection induce a surjection on unit groups? and (2) When is the set of closed points a closed set in Spec R? From these questions, 2 classes of rings will be defined, which will show that the above questions are more closely related than one may initially suspect. This talk will be completely elementary, and requires no prerequisite knowledge beyond a first course in commutative algebra.