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.

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