Geodesic
Idempotents in The Groupoid of all SP Classes of Lattices
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 499-501

Voir la notice de l'article provenant de la source Cambridge University Press

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 
Day, Alan. Idempotents in The Groupoid of all SP Classes of Lattices. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 499-501. doi: 10.4153/CMB-1978-085-2
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[1] 1. Day, A., A Simple Solution to the Word Problem for Lattices, Can. Math. Bull. 13 (1970), 253-254. Google Scholar

[2] 2. Day, A., Splitting Lattices Generate All Lattices, Proceedings of the Conference on Universal Algebra, Szeged 1975, North-Holland (in print). Google Scholar

[3] 3. Jônsson, B., Relatively Free Lattices, Colloq. Math. 21 (1970), 191-196. Google Scholar

[4] 4. Lender, W. B., About a Groupoid of Prevarieties of Lattices, Siberian Math. J. XVI No 6 (1975), 1214-1223 (Russian). Google Scholar

[5] 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] 6. Neumann, H., Varieties of Groups, Erg. der Math, New Series Vol. 37, Springer-Verlag, Berlin 1967. Google Scholar

[7] 7. Whitman, P., Free Lattices, Ann. of Math. 42 (1941), 325-330. Google Scholar

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