Geodesic
On the Representation of Boolean Algebras
Canadian mathematical bulletin, Tome 5 (1962) no. 1, pp. 37-41

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

Let B be a Boolean algebra and let M and n be two systems of subsets of B, both containing all finite subsets of B. Let us assume further that the join ∨M of every set M∊M and the meet ∧N of every set N∊n exist. Several authors have treated the question under which conditions there exists an isomorphism φ between B and a field δ of sets, satisfying the conditions: 
On the Representation of Boolean Algebras. Canadian mathematical bulletin, Tome 5 (1962) no. 1, pp. 37-41. doi: 10.4153/CMB-1962-006-6
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[1] 1 We denote by "∨, ∧" the lattice theoretical operations, by "∪, ∩" the corresponding set theoretical operations.

[2] 2 See Sikorski, Boolean algebras, Berlin-G?ttingen-Heidelberg 1960, pp. 79 ff and the literature cited there.

[3] 3 See Sikorski, loc. cit. p. 93, D).

[4] 4 See Sikorski, loc. cit., p. 80, 24. 1.

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