Dissertation/Thesis Abstract

Square and kth Root Properties of Zeons
by Dollar, Lisa M., M.S., Southern Illinois University at Edwardsville, 2016, 34; 10147075
Abstract (Summary)

Zeon algebras can be thought of as commutative analogues of Grassmann (exterior) algebras. This paper focuses on zeons with inverses, square roots, and kth roots. Recursive formulas for finding inverses, and recursive and closed formulas for finding kth roots and square roots are proven.

Indexing (document details)
Advisor: Staples, G. S., Parish, James
Commitee: Parish, James, Weyhaupt, Adam
School: Southern Illinois University at Edwardsville
Department: Mathematics and Statistics
School Location: United States -- Illinois
Source: MAI 56/01M(E), Masters Abstracts International
Subjects: Mathematics, Theoretical Mathematics
Keywords: Clifford algebra, Roots, Zeon algebra
Publication Number: 10147075
ISBN: 978-1-369-02371-8
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