Geodesic
Maximal Pre-Primal Clusters
Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 746-751

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

A number of unsolved problems of primal algebra theory concern the existence of certain collections of dependent primal algebras. In [3] E. S. O'Keefe showed that any collection of pairwise non-isomorphic primal algebras of type {n} with n > 1 forms a primal cluster. Recently the author has discovered that if τ is any type containing at least two elements, one of which is > 1, then there are at least two non-isomorphic dependent primal algebras of type τ, except possibly in the case = {2, 0}; this result will appear later. 
Froemke, Jon. Maximal Pre-Primal Clusters. Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 746-751. doi: 10.4153/CJM-1975-083-x
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[1] 1. Gràtzer, G., Universal algebra (Princeton, N.J., Van Nostrand, 1968). Google Scholar

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[3] 3. O, E. S.'Keefe, On the independence of primal algebras, Math. Z. 73 (1960), 79–94. Google Scholar

[4] 4. Primal clusters of two-element algebras, Pac. J. Math. 11 (1961), 1505–1510. Google Scholar

[5] 5. Sioson, F. M., Some primal clusters, Math. Z. 75 (1960/61), 201–210. Google Scholar

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