16. Rings and sigma-rings of subsets

16.1 Subset rings

Definition (ring of sets (Birkhoff, 1937)). Let E be a non-empty set. A set ring in E is a collection of subsets of E, denoted $A$ , such that (p. 1 of , p. 86 of ):

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Rings and sigma-rings of subsets

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Bibliography

(1) - ALLAM (A.A), BAKEIR (M.Y.), ABO-TABL (E.A.) - Some methods for generating topologies by relations, - Bulletin of the Malaysian Mathematical Sciences Society, (2), Vol. 31, No.1, pp. 35-45 (2008).
(2) - BALBES (R.), DWINGER (P.) - Distributive Lattices,...

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