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- 20-XX Group theory and generalizations
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Let G be an Abelian group and let μ: A → G and ν: B → G be finitely additive measures (charges) defined on fields A and B of subsets of a set X. It is assumed that μ and ν agree on A ∩ B, i.e. they are consistent. The existence of common extensions of μ and ν is investigated, and conditions on A and B facilitating such extensions are given.
G. B. Belyavskaya and G. L. Mullen showed the existence of a complement for a -tuple of orthogonal -ary operations, where , to an -tuple of orthogonal -ary operations. But they proposed no method for complementing. In this article, we give an algorithm for complementing a -tuple of orthogonal -ary operations to an -tuple of orthogonal -ary operations and an algorithm for complementing a -tuple of orthogonal -ary operations to an -tuple of orthogonal -ary operations. Also we find some...
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10175