Titlebook: Boolean Algebras; Reihe: Reelle Funkti Roman Sikorski Book 19601st edition Springer-Verlag Berlin Heidelberg 1960 Boolescher Verband.Finite

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Book 19601st editionaic rings, or as a generalization of the set-theoretical notion of field of sets. Fundamental theorems in the both directions are due to M. H. STONE whose papers have opened a new period in the development of the theory. This work treats of the set-theoretical aspect, the algebraic one being scarcel

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Finite joins and meets,by . and called the . of .. The operations ∪, ∩, — are characterized by a set of axioms assuring that these operations have properties analogoues to those of union, intersection and complementation of sets respectively. Many equivalent sets of axioms characterizing ∪, ∩, — are known.. We assume here the following one.:

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Terminology and notation,eet. They hold also for the symbols “ . ” and “ . ” of the corresponding infinite operations (see also notation on p. 50–51 for infinite Boolean joins and meets) and for the symbol “—” of complementation and the symbol “ ⊂ ” of inclusion.

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of algebraic rings, or as a generalization of the set-theoretical notion of field of sets. Fundamental theorems in the both directions are due to M. H. STONE whose papers have opened a new period in the development of the theory. This work treats of the set-theoretical aspect, the algebraic one bei

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