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\begin{document}$ n>0 $\end{document} and let \documentclass[12pt]{minimal}
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\begin{document}$ \sigma=\{\sigma_{i}\mid i\in I\} $\end{document} be
a partition of the set of all primes \documentclass[12pt]{minimal}
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\begin{document}$ {} $\end{document}.
We prove that the lattice of all \documentclass[12pt]{minimal}
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\begin{document}$ n $\end{document}-multiply \documentclass[12pt]{minimal}
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\begin{document}$ \sigma $\end{document}-local formations
is inductive and \documentclass[12pt]{minimal}
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\begin{document}$ {\mathfrak{G}} $\end{document}-separated.