Date of Award
Spring 5-6-2020
Document Type
Honors Project
Degree Name
Bachelor of Science
Department
Mathematics
Department Chair or Program Director
Helmstutler, Randall
First Advisor
Collins, Jeb
Second Advisor
Helmstutler, Randall
Third Advisor
Lehman, Larry
Major or Concentration
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.
Recommended Citation
Scurlock, Ashley, "Anticommutative Associative Algebras And The Binomial Theorem" (2020). Student Research Submissions. 328.
https://scholar.umw.edu/student_research/328