Problems in bold are to be handed in
Unless noted otherwise, problems are from Dummit and Foote.
Chapter 8.2 / 6
Chapter 9.3 / 4
Chapter 9.4 / 16
Hand in:Let R be a unique factorization domain, and S a multiplicative subset of R not containing 0. Show that R[S-1] is also a unique factorization domain.
Hand in:Let R be a commutative ring, and S a multiplicative subset of R. Exhibit a bijective correspondence between prime ideals of R disjoint from S, and ideals of R[S-1].