Off-campus UNL users: To download campus access dissertations, please use the following link to log into our proxy server with your NU ID and password. When you are done browsing please remember to return to this page and log out.
Non-UNL users: Please talk to your librarian about requesting this dissertation through interlibrary loan.
Prime ideals in low-dimensional mixed polynomial/power series rings
Abstract
Let B be a simple birational extension of R[[x]], the ring of power series in one variable over a one-dimensional Noetherian domain R. We consider Spec( B), the set of prime ideals of B partially ordered by inclusion. The main result of Chapter 2 is a characterization of Spec( B), where R is a countable PID or an order in an algebraic number field. Among other results in Chapter 3 is a characterization of Spec(R[[x]][y]/ Q) for certain height-one prime ideals Q in R [[x]][y], where R is a countable semilocal one-dimensional Noetherian domain. In Chapter 4 we give some properties of prime spectra of certain three-dimensional mixed polynomial/power series rings.
Subject Area
Mathematics
Recommended Citation
Eubanks-Turner, Christina, "Prime ideals in low-dimensional mixed polynomial/power series rings" (2008). ETD collection for University of Nebraska-Lincoln. AAI3303652.
https://digitalcommons.unl.edu/dissertations/AAI3303652