Date

Spring 5-6-2020

Document Type

Honors Project

First Advisor

Collins, Jeb

Second Advisor

Helmstutler, Randall

Third Advisor

Lehman, Larry

Department Chair or Program Director

Helmstutler, Randall

Degree Name

Bachelor of Science

Major or Concentration

Mathematics

Department or Program

Mathematics

Abstract

We examine the binomial theorem and its components in a noncommutative associative algebra. Specifically, we examine the relationship between the 1-binomial and -1-binomial coefficient, as well as exploring alternatives for the exponential identity for non-commutative and anticommutative elements. Through this investigation we found that the 1-binomial can be mapped to the -1-binomial and that the relationship could be used to prove a defined alternative for the exponential identity for anticommutative elements.

Language

English

Included in

Mathematics Commons

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