Date of Award

Summer 1993

Document Type

Dissertation - Restricted

Degree Name

Doctor of Philosophy (PhD)


Mathematics, Statistics and Computer Science

First Advisor

Pastijin, Francis

Second Advisor

Byleen, Karl

Third Advisor

Jones, Peter


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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