Duchoň, Miloslav; Riečan, Beloslav On the product of semigroup valued measures. (English) Zbl 0917.28011 Tatra Mt. Math. Publ. 10, 17-27 (1997). A version of Alexandroff’s theorem for measures defined on a ring and with values in a \(\sigma \)-complete commutative semigroup is proved. This result is applied to the existence of a product measure with values in a \(\sigma \)-distributive \(\ell \)-ring as well as to the existence of a joint observable on MV-algebras. Reviewer: Anatolij Dvurečenskij (Bratislava) MSC: 28B10 Group- or semigroup-valued set functions, measures and integrals 28B15 Set functions, measures and integrals with values in ordered spaces Keywords:product of measures; Alexandroff theorem; joint observables; semigroup-valued measures; MV-algebras PDFBibTeX XMLCite \textit{M. Duchoň} and \textit{B. Riečan}, Tatra Mt. Math. Publ. 10, 17--27 (1997; Zbl 0917.28011)