Department Chair or Program Director
Bachelor of Science
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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.
Scurlock, Ashley, "Anticommutative Associative Algebras And The Binomial Theorem" (2020). Student Research Submissions. 328.