Distributivity and the normal completion of Boolean algebras
نویسندگان
چکیده
منابع مشابه
Distributivity of the Normal Completion, and Its Priestley Representation
The normal, or Dedekind-MacNeille, completion δ(L) of a distributive lattice L need not be distributive. However, δ(L) does contain a largest distributive sublattice β(L) containing L, and δ(L) is distributive if and only if β(L) is complete if and only if δ(L) = β(L). In light of these facts, it may come as a surprise to learn that β(L) was developed (in [1]) for reasons having nothing to do w...
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We prove “large associativity” of the partial sum in effect algebras and present an overview of distributivity-like properties of partial operations ⊕ and in effect algebras with respect to (possibly infinite) suprema and infima and vice versa generalizing several previous results.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1958
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1958.8.133