Geodesic
Laterally complete $C_\infty(Q)$-modules
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 2, pp. 69-78

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Let $X$ be a regular laterally complete $C_\infty(Q)$-module and $\mathscr B$ be a Boolean algebra whose Stone space is $Q$. We introduce the passport $\Gamma(X)$ for $X$ consisting of uniquely defined partition of unity in $\mathscr B$ and set of pairwise different cardinal numbers. It is proved that $C_\infty(Q)$-modules $X$ and $Y$ are isomorphic if and only if $\Gamma(X)=\Gamma(Y)$. 
@article{VMJ_2014_16_2_a7,
     author = {V. I. Chilin and J. A. Karimov},
     title = {Laterally complete $C_\infty(Q)$-modules},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {69--78},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a7/}
}
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V. I. Chilin; J. A. Karimov. Laterally complete $C_\infty(Q)$-modules. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 2, pp. 69-78. http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a7/