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Idempotents in The Groupoid of all SP Classes of Lattices

Published online by Cambridge University Press:  20 November 2018

Alan Day
Alan Day*
Affiliation:
Department of Mathematical Science, Lakehead University, Thunder Bay, Ont. P7B 5E1
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In [5], Mal'cev generalized the group theoretical results of H. Neumann (see [6] Chapter 2) to produce the notion of the product, of two subclasses of a given variety of algebras, Following the group theorectic example, members of were called extensions of algebras in by algebras in

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 4 , 01 December 1978 , pp. 499 - 501
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Day, A., A Simple Solution to the Word Problem for Lattices, Can. Math. Bull. 13 (1970), 253-254.Google Scholar
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3. Jônsson, B., Relatively Free Lattices, Colloq. Math. 21 (1970), 191-196.Google Scholar
4. Lender, W. B., About a Groupoid of Prevarieties of Lattices, Siberian Math. J. XVI No 6 (1975), 1214-1223 (Russian).Google Scholar
5. Mal'cev, A. I., Multiplication of Classes of Algebraic Systems, Siberian Math J. 8 (1976), 764-770 (Russian). Translation available in: A. I. Mal'cev, The Metamathematics of Algebraic Systems, Studies in Logic Vol. 66, North-Holland, Amsterdam (1971).Google Scholar
6. Neumann, H., Varieties of Groups, Erg. der Math, New Series Vol. 37, Springer-Verlag, Berlin 1967.Google Scholar
7. Whitman, P., Free Lattices, Ann. of Math. 42 (1941), 325-330.Google Scholar