  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.
