n-dimensional observables on k-perfect MV-algebras and k-perfect effect algebras. II. One-to-one correspondence

This article is a continuation of our research on one-to-one correspondence between n -dimensional spectral resolutions and observables lexicographic types quantum structures which started in Dvurečenskij Lachman ( https://doi.org/10.1016/j.fss.2021.05.005 ). There we presented the main properties observables, studied depth characteristic points are crucial for study. Here present body research. We investigate with values form such as perfect MV-algebras or effect algebras. The multidimensional version this problem more complicated than one-dimensional one because if algebraic structure k -perfect > 1 , then even two-dimensional case have points. results obtained applied to existence an meet joint observable MV-algebra sum observables.