FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 8, PAGES 159-168

**Automorphisms and model-theory questions for nilpotent matrix groups
and rings**

V. M. Levchuk

E. V. Minakova

Abstract

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Let $R\text{'}\; =\; NT(m,S)$.
The purpose of the paper is the investigation of elementary
equivalences $UT(n,K)$º UT(m,S) and
$$L
(R) º L (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.

Location: http://mech.math.msu.su/~fpm/eng/k08/k088/k08810h.htm

Last modified: October 18, 2009