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On Malcev conditions

Published online by Cambridge University Press:  09 April 2009

Walter D. Neumann
Walter D. Neumann
Affiliation:
Mathematisches Institut, UniversitätBonn, Germany
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This note gives a way of looking at Malcev conditions for varieties as ideals in a certain lattice. Though this viewpoint (so far) yields no new results, we feel it puts Walter Taylor's results [3] characterizing “Malcev definable classes of varieties” into a clearer perspective and is therefore worth mentioning. The author is grateful to R. Wille for pointing out W. Taylor's paper to him.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 17 , Issue 3 , May 1974 , pp. 376 - 384
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Felscher, W., ‘Equational maps’, Contrib. to Math. Logic, (Amsterdam 1968), 121–161.Google Scholar
[2]Neumann, W. D., ‘Representing varieties of algebras by algebras’, J. Aust. Math. Soc. 11 (1970), 1–8.CrossRefGoogle Scholar
[3]Taylor, W., ‘Characterizing Mal'cev conditions’, Preprint.Google Scholar