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Semigroup varieties closed for the Bruck extension

Published online by Cambridge University Press:  18 May 2009

Francis Pastijn
Affiliation:
Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI 53233, USA
Xiaoying Yan
Affiliation:
Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI 53233, USA
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We shall show that there exists a chain, order isomorphic to the chain of real numbers, of semigroup varieties closed for the Bruck extension. The least semigroup variety closed for the Bruck extension will be obtained as the union of varieties in an infinite chain of semigroup varieties.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1994

References

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