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.
|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|
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