We shall prove that if $M$ is a finitely generated multiplication module and $\mathop {\mathrm Ann}(M)$ is a finitely generated ideal of $R$, then there exists a distributive lattice $\bar{M}$ such that $\mathop {\mathrm Spec}(M)$ with Zariski topology is homeomorphic to $\mathop {\mathrm Spec}(\bar{M})$ to Stone topology. Finally we shall give a characterization of finitely generated multiplication $R$-modules $M$ such that $\mathop {\mathrm Ann}(M)$ is a finitely generated ideal of $R$.
The aim of this paper is to increase the stability of buildings and structures to natural disasters by modifying the Georgian clays into cement concrete filler by creation-using of rehydro-liming pozzolanization technology. The risk of damage-destruction of buildings and structures caused by earthquakes, sea storms, floods, mudflows, has increased in the world. Risks can be prevented by increasing of building and structure stability by reducing the anisotropy of cement concrete strength. To do this: Aqueous aluminosilicate minerals of clays, while dehydrating preserving habitus, are modified into a void containing (...mAl2O3∙nSiO2..) base minerals in which, after mixing in cement concrete while rehydro-liming, Ca(OH)2 is sorbed. The tobermorite, stratlingite, generated in filler, together with cement ettringite form fiber-needle-flaky habit clusters by modifying the structure of cement concrete with 3D self-nano-reinforcement, by reducing the anisotropy of strength - by increasing of stability to loads with variable direction-magnitude. It has been proven that in order to prevent risks of catastrophe, it is possible to use modification of Georgian clays by thermal dehydration in cement concrete technologies, which will create the preconditions for cement concrete pozzolanization by rehydro-liming, so the study of the basics of this process is actual., Rajden Skhvitaridze, Elena Shapakidze, IIoseb Gejadze, Merab Abazadze, Malxaz Turdzeladze, Teimuraz Cheishvili and Akaki Skhvitaridze., and Obsahuje bibliografii