Date of Award
Richard N. Ball, Ph.D.
Boolean Algebra, de Vries algebra, Flow, Monoid action, Proximity
The main point of this dissertation is to introduce the action on de Vries algebra by a topological monoid and we denoted the resulting category by dVT. In order to reach our goal, we started with introducing new proofs for some well known results in the category of flows. Then, we studied the Generalized Smirnov's Theorem for flows. After we studied the new category (dVT), we were able to provide a new way to construct the Čech-stone flow compactification of a given flow. Finally, we developed the co-free T-de Vries algebra for a special case.
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Alznad, Nawal, "T-de Vries Algebra" (2018). Electronic Theses and Dissertations. 1488.
Received from ProQuest