Date of Award

5-2016

Document Type

Thesis

Degree Name

Master of Science (MS)

Legacy Department

Mathematical Science

Committee Member

Dr. Felice Manganiello, Committee Chair

Committee Member

Dr. Shuhong Gao

Committee Member

Dr. Gretchen Matthews

Abstract

Since being introduced by Oystein Ore in his 1933 paper, “Theory of Non-Commutative Polynomials” [6], non-commutative, skew, or Ore polynomials have been studied extensively. One prominent application of skew polynomials is in the generation of codes. This paper covers some key facets of the structure of skew polynomials and aims to find a divisor polynomial for two given polynomials that satisfies certain properties of divisibility.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.