@article{VNGU_2008_8_3_a5,
author = {E. V. Minakova},
title = {The elementary equivalence of {Lie} rings of niltriangular matrix rings over the commutative rings of coefficients},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {100--104},
year = {2008},
volume = {8},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a5/}
}
TY - JOUR AU - E. V. Minakova TI - The elementary equivalence of Lie rings of niltriangular matrix rings over the commutative rings of coefficients JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2008 SP - 100 EP - 104 VL - 8 IS - 3 UR - http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a5/ LA - ru ID - VNGU_2008_8_3_a5 ER -
%0 Journal Article %A E. V. Minakova %T The elementary equivalence of Lie rings of niltriangular matrix rings over the commutative rings of coefficients %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2008 %P 100-104 %V 8 %N 3 %U http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a5/ %G ru %F VNGU_2008_8_3_a5
E. V. Minakova. The elementary equivalence of Lie rings of niltriangular matrix rings over the commutative rings of coefficients. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 3, pp. 100-104. http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a5/
[1] Rose B. I., “The $\chi_1-$categoricity of Strictly Upper Triangular Matrix Rings over Algebraically Closed Fields”, J. of Symbolic Logic, 43:2 (1978), 250–259 | DOI | MR | Zbl
[2] Wheeler W. H., “Model Theory of Strictly Upper Triangular Matrix Ring”, J. Symbolic Logic, 45 (1980), 455–463 | DOI | MR | Zbl
[3] Levchuk V. M., “Svyazi unitreugolnoi gruppy s nekotorymi koltsami. II: Gruppy avtomorfizmov”, Sib. mat. zhurn., 24:4 (1983), 543–557 | Zbl
[4] Videla C. R., “On the Model Theory of the Ring $NT(n,R)$”, J. of Pure and Appl. Algebra, 55 (1988), 289–302 | DOI | MR | Zbl
[5] Belegradek O. V., “Model Theory of Unitriangular Groups”, Amer. Math. Soc. Transl., 195:2 (1999) | MR | Zbl
[6] Kuzucuoglu F., Levchuk V. M., “Isomorphisms of Certain Locally Nilpotent Finitary Groups and Associated Rings”, Acta Appl. Math., 82:2 (2004), 169–181 | DOI | MR | Zbl
[7] Levchuk V. M., “Sylow Subgroups of Chevalley Groups and Associated (weakly) Finitary Groups and Rings”, Acta Appl. Math., 85 (2005), 225–232 | DOI | MR | Zbl
[8] Saks Dzh. E., Teoriya nasyschennykh modelei, Mir, M., 1976 | MR
[9] Maltsev A. I., “Ob odnom sootvetstvii mezhdu koltsami i gruppami”, Mat. sb., 50 (1960), 257–266 | MR | Zbl
[10] Levchuk V. M., “Nekotorye lokalno nilpotentnye matrichnye koltsa”, Mat. zametki, 42:5 (1987), 631–641 | MR | Zbl