The Uniform Right Ideals of a Ring of Matrices

Author

Gerald Joseph Janusz, Marquette University

Date of Award

12-1961

Degree Type

Bachelors Essay

Degree Name

Bachelor of Science (BS)

Department

Mathematical and Statistical Sciences

First Advisor

E.W. Swokowski

Abstract

The concept of uniform right ideals plays an important part in the structure tbeory of prime rings and semi-prime rings as developed by Goldie in [1] and (=[2]. Very few examples of uniform right ideals appear in the literature, however. In section one, we obtain the form of these right ideals in a matrix ring, I_n, where I is a right Ore domain with identity. The existence of the identity involves some loss of generality, but greatly simplifies the approach used in this paper.

Comments

A Thesis submitted to the Faculty of the College of Liberal Arts, Marquette University in Partial Fulfillment of the Requirements for the Degree of Bachelor of Science. Milwaukee, Wisconsin

Recommended Citation

Janusz, Gerald Joseph, "The Uniform Right Ideals of a Ring of Matrices" (1961). Bachelors’ Theses. 699.
https://epublications.marquette.edu/bachelor_essays/699