Geodesic
Unrefinable chains when taking the infimum in the lattice of ring topologies for a~nilpotent ring
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2017), pp. 71-76.

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A nilpotent ring $\widehat R$ and two ring topologies $\widehat\tau''$ and $ \widehat\tau*$ on $\widehat R$ are constructed such that $\widehat\tau*$ is a coatom (i.e. between the discrete topology $\tau_d$ and $\widehat\tau*$ there no exists ring topologies) and such that between $\inf\{\widehat\tau'',\widehat\tau_d\}$ and $\inf\{\widehat\tau'',\widehat\tau*\}$ there exists an infinite chain of ring topologies in the lattice of all ring topologies of the ring $\widehat R$. 
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     author = {V. I. Arnautov and G. N. Ermakova},
     title = {Unrefinable chains when taking the infimum in the lattice of ring topologies for a~nilpotent ring},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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V. I. Arnautov; G. N. Ermakova. Unrefinable chains when taking the infimum in the lattice of ring topologies for a~nilpotent ring. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2017), pp. 71-76. http://geodesic.mathdoc.fr/item/BASM_2017_2_a5/

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