Bulletin of the Australian Mathematical Society, 2008
I would like to acknowledge those people without whose assistance this thesis would never have se... more I would like to acknowledge those people without whose assistance this thesis would never have seen the light of day. In particular, great thanks go to my supervisor Graham Clarke, who first introduced me to the delights of algebraic semigroup theory and suggested the initial direction of research. My second supervisor Kathy Horadam was always encouraging and ready to give great advice. Peter Trotter and Tom Hall (quite independently) suggested studying congruences on lattices of e-varieties and e-pseudovarieties, research which forms the bulk of Chapter 3. Much of the research was carried out while I was the recipient of an Australian Postgraduate Award. Finally, I must thank my friends and family for supporting me over the past several years, especially my wife, Julie.
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