Student Commutative Algebra Seminar

We'll revisit the familiar notions of module-finite and integral extensions of a domain, and investigate one way in which these notions enable us to talk about "almost" belonging to an ideal. We'll define a kind of maximal integral extension of a domain, analogous to the algebraic closure of a field, that in some ways conceptually simplifies this picture. We'll discuss (without proof) how this construction illustrates a fundamental difference between characteristic p and (equal) characteristic 0. Speaker(s): Monica Lewis (University of Michigan)