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.
Recommended Citation
Baumbaugh, Travis, "Results on Common Left/Right Divisors of Skew Polynomials" (2016). All Theses. 2413.
https://tigerprints.clemson.edu/all_theses/2413