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Mal'tsev conditions and spectra

Part of: Varieties

Published online by Cambridge University Press:  09 April 2009

Walter Taylor
Walter Taylor
Affiliation:
Department of Mathematics University of ColoradoBoulder, Colorado 80309, USA
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Let J be a cofinite set of positive integers which contains 1. In (1973) I proved that the following condition on a variety (equational class) is Mal'tsev-definable: if υ ∈and υ is finite, then |υ| ∈J. This article contains some subsidiary results, concerned mainly with a more detailed description of these Mal'tsev conditions. Many of our results arose upon considering a recent article of W. D. Neumann (1978).

MSC classification

Secondary: 08B05: Equational logic, Mal′cev (Mal′tsev) conditions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 29 , Issue 2 , March 1980 , pp. 143 - 152
Copyright
Copyright © Australian Mathematical Society 1980

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