Group-Valued Charges: Common Extensions and the Infinite Chinese Remainder Property
نویسندگان
چکیده
منابع مشابه
Common extensions of semigroup- valued charges
Let A and B be fields of subsets of a nonempty set X and let μ : A → E and ν : B → E be finitely additive measures (“charges”) taking values in a commutative semigroup E. We assume that μ and ν are consistent (e.g. μ = ν on A ∩ B) and ask whether they have a common extension to a charge ρ : A ∨ B → E. Now, we shall see (proposition 2.3) that the most natural consistency condition which we can f...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1991
ISSN: 0002-9939
DOI: 10.2307/2048771