Geodesic
Automorphisms and model-theory questions for nilpotent matrix groups and rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 8, pp. 159-168

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Let $R'=\mathrm{NT}(m, S)$. The purpose of the paper is the investigation of elementary equivalences $\mathrm{UT}(n,K)\equiv\mathrm{UT}(m,S)$ and $\Lambda(R)\equiv\Lambda(R')$ for arbitrary associative coefficient rings with identity. The main theorem gives the description of such equivalences for $n>4$. In addition, we investigate isomorphisms and elementary equivalence of Jordan niltriangular matrix rings. 
@article{FPM_2008_14_8_a9,
     author = {V. M. Levchuk and E. V. Minakova},
     title = {Automorphisms and model-theory questions for nilpotent matrix groups and rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {159--168},
     publisher = {mathdoc},
     volume = {14},
     number = {8},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a9/}
}
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V. M. Levchuk; E. V. Minakova. Automorphisms and model-theory questions for nilpotent matrix groups and rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 8, pp. 159-168. http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a9/