The concepts of middle annihilators and links between prime ideals have been useful in studying classical localization. Universal localization has given us an alternative to classical localization as an approach to studying the localization of noncommutative Noetherian rings at prime and semiprime ideals. There are two main ideas we explore in this thesis. The first idea is the relationship between certain middle annihilator ideals, links between prime ideals, and universal localization. The second idea is to explore the circumstances under which the universal localization of a ring will be Noetherian, in the case where the ring is finitely generated as a module over its center.
|Advisor:||Blau, Harvey I., Beachy, John A.|
|Commitee:||Blecksmith, Richard F., Ye, Zhuan|
|School:||Northern Illinois University|
|School Location:||United States -- Illinois|
|Source:||DAI-B 74/10(E), Dissertation Abstracts International|
|Keywords:||Noetherian rings, Noncommutative rings, Universal localization|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be