This work extends that done by Dollar and Staples in determining the algebraic properties of zeon algebras. The usual exponential function has been extended to this setting, and it is shown to have an inverse. As a result, a multiplicative form of the invertible elements of the zeon algebras is obtained, and several applications of this factorization are discussed. Additionally, basic trigonometry is extended to the setting of these algebras.
|Advisor:||Staples, George S.|
|Commitee:||Parish, James L., Song, Myung-Sin|
|School:||Southern Illinois University at Edwardsville|
|Department:||Mathematics and Statistics|
|School Location:||United States -- Illinois|
|Source:||MAI 56/04M(E), Masters Abstracts International|
|Keywords:||Combinatorics, Graph theory, Zeon algebras|
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