Algebraic ramifications of the common extension problem for group-valued measures
Rüdiger Göbel, Rae Michael Shortt · Fundamenta Mathematicae · 1994
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 a