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VARIETIES GENERATED BY COMPLETELY 0-SIMPLE SEMIGROUPS

Published online by Cambridge University Press:  01 June 2008

NORMAN R. REILLY*
Affiliation:
Department of Mathematics, Simon Fraser University, 8888 University Drive, Burnaby, BC, Canada V5A 1S6 (email: [email protected])
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Abstract

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Kublanovsky has shown that if a subvariety V of the variety RSn generated by completely 0-simple semigroups over groups of exponent n is itself generated by completely 0-simple semigroups, then it must satisfy one of three conditions: (i) A2 ∈ V; (ii) (iii) B2V but The conditions (i) and (ii) are also sufficient conditions. In this note, we complete Kublanovsky’s programme by refining condition (iii) to obtain a complete set of conditions that are both necessary and sufficient.

Type
Research Article
Copyright
Copyright © 2008 Australian Mathematical Society

References

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