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Decompositions of dual discriminator varieties

Published online by Cambridge University Press:  17 April 2009

R.J. Bignall
Affiliation:
School of Applied Science, Monash University College Gippsland, Switchback Road, Churchill Vic 3842, Australia
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Abstract

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A necessary and sufficient condition for a dual discriminator variety to be the product of a discriminator variety and a dual discriminator variety is given, along with an example of such a variety.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Burris, S. and Sankappanavar, H. P., A Course in Universal Algebra (Springer-Verlag, Berlin, Heidelberg, New York, 1980).Google Scholar
[2]Fried, E. and Pixley, A., ‘The dual discriminator function in universal algebra’, Acta Sci. Math. 41 (1979), 83100.Google Scholar
[3]Grätzer, G., Lakser, H. and Plonka, J., ‘Joins and direct products of equational classes’, Canad. Math. Bull. 12 (1976), 741747.Google Scholar
[4]Sholander, M., ‘Medians and betweenness’, Proc. Amer. Math. Soc. 5 (1954), 801807.Google Scholar
[5]Sholander, M., ‘Medians, lattices and trees’, Proc. Amer. Math. Soc 5 (1954), 808812.CrossRefGoogle Scholar