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Twenty First Victorian Algebra Conference with Workshop on Universal Algebraic Techniques in Semigroup Theory and Algebraic Logic
September 29 - October 1, 2003
La Trobe University
Melbourne, Victoria, Australia

Organizers
Marcel Jackson, Brian Davey

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Varieties of structurally trivial semigroups
by
Samuel J. L. Kopamu
Department of Mathematics & Computer Science, PNG University of Technology, Lae, Papua New Guinea

We describe the skeleton of the lattice of all structurally trivial semigroup varieties. The structure of this lattice looks somewhat like an inverted pyramid. Our result unifies several known results and provides a framework for further research. The proof makes use of an interesting family of injective endomorphisms on the lattice of all semigroup varieties.

Date received: April 6, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cala-02.