Date of Award
Summer 1993
Document Type
Dissertation - Restricted
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics, Statistics and Computer Science
First Advisor
Pastijn, Francis
Second Advisor
Byleen, Karl
Third Advisor
Jones, Peter
Abstract
The class of all completely regular semigroups, when considered as unary semigroups, forms a variety. This gives rise to questions concerning the solvability of the word problem for completely regular semigroup presentations. Several types of completely regular semigroup presentations are considered and solutions to word problems have been provided. Presentations within certain subvarieties of the variety of all completely regular semigroups are also considered. We prove that certain questions concerning completely regular semigroup presentations are undecidable.
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