Date of Award
Master of Science (MS)
Dr. Felice Manganiello, Committee Chair
Dr. Shuhong Gao
Dr. Gretchen Matthews
Since being introduced by Oystein Ore in his 1933 paper, “Theory of Non-Commutative Polynomials” , 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.
Baumbaugh, Travis, "Results on Common Left/Right Divisors of Skew Polynomials" (2016). All Theses. 2413.