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Errata: Mal'cev conditions spectra and Kronecker product

Published online by Cambridge University Press:  09 April 2009

Walter D. Neumann
Walter D. Neumann
Affiliation:
Department of Mathematics University of MarylandMaryland 20724, U.S.A.
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I am grateful to W. Taylor for pointing out that Lemma 2.3 of Neumann (1978), which claimed that a variety and its finitary reduct have the same finite algebras, is incorrect. This weakens several results of the paper: the lattice homomorphism of Lemma 3.1 is not complete, Theorem 4.1 is false, and the Mal'cev conditions claimed to be strong in 6.1, 6.2 and 7.1 are not strong. Taylor (1980) shows one cannot improve on this.

Type
Errata
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 4 , December 1979 , pp. 510
Copyright
Copyright © Australian Mathematical Society 1979

References

Bateson, A. (1977), ‘Interplay of algebra and topology’, Thesis, University of Colorado.Google Scholar
Neumann, W. D. (1978), ‘Mal'cev conditions, spectra and Kronecker product’, J. Austral. Math. Soc. Ser. A 25, 103–117.CrossRefGoogle Scholar
Taylor, W. (1980), ‘Mal'tsev conditions and spectra’, J. Austral. Math. Soc. Ser. A. (to appear).Google Scholar