Dissertation/Thesis Abstract

On universal localization of noncommutative Noetherian rings
by Leroux, Christine M., Ph.D., Northern Illinois University, 2013, 87; 3567765
Abstract (Summary)

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.

Indexing (document details)
Advisor: Blau, Harvey I., Beachy, John A.
Commitee: Blecksmith, Richard F., Ye, Zhuan
School: Northern Illinois University
Department: Mathematical Sciences
School Location: United States -- Illinois
Source: DAI-B 74/10(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Noetherian rings, Noncommutative rings, Universal localization
Publication Number: 3567765
ISBN: 978-1-303-19884-7
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