Lebesgue Integral in Abelian Omega Group
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Lebesgue Integral in Abelian Omega Group, Japanese Abacus for Kids: (Black & White Version). a Step-By-Step Guide to Addition and Subtraction Using the Japanese Abacus (Soroban)., 9781541099166
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The common in ring, module and algebra is that they are Abelian group with respect to addition. This property is enough to study integration. I treat integral of measurable map into normed Abelian Omega-group. Theory of integration of maps into Omega-group has a lot of common with theory of integration of functions of real variable. However I had to change some statements, since they implicitly assume either compactness of range or total order in Omega-group.
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