Geodesic
Distributive Extensions and Quasi-Framal Algebras
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 265-281

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

In (2; 3; 4), A. L. Foster denned Boolean extensions of framal algebras and bounded Boolean extensions of framal-in-the-small algebras. Foster proved that the class of Boolean (of bounded Boolean) extensions of a framal (a framal-in-the-small) algebra A is coextensive up to isomorphism with a certain class of subdirect powers of A, namely, the class of normal (of bounded normal) subdirect powers of A. His proofs apply, however, to considerably more general situations. Indeed, as remarked in (2), the construction of Boolean extensions may be carried out for an arbitrary universal algebra with finitary operations; this is done, in fact, in (4). 
Hu, Tah-Kai. Distributive Extensions and Quasi-Framal Algebras. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 265-281. doi: 10.4153/CJM-1966-029-6
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[1] 1. Birkhoff, G., Lattice theory (New York, 1948). Google Scholar

[2] 2. Foster, A. L., Generalized “Boolean” theory of universal algebras. I. Subdirect sums and normal representation theory, Math. Z., 58 (1953), 306–336. Google Scholar

[3] 3. Foster, A. L., Generalized “Boolean” theory of universal algebras. II. Identities and subdirect sums of functionally complete algebras, Math. Z., 59 (1953), 191–199. Google Scholar

[4] 4. Foster, A. L., Functional completeness in the small. Algebraic structure theorems and identities, Math. Ann., 148(1961), 29–58. Google Scholar

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