FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 1, PAGES 45-55

**Elementary equivalence of linear groups over rings with a finite
number of central idempotents and over Boolean rings**

V. A. Bragin and E. I. Bunina

Abstract

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In the present paper, we start with a criterion of elementary
equivalence of linear groups over rings with just a finite number
of central idempotents.
Then we study elementary equivalence of linear groups over Boolean
algebras.
We prove that two linear groups over Boolean algebras are elementarily
equivalent if and only if their dimensions coincide and these Boolean
algebras are elementarily equivalent.

Location: http://mech.math.msu.su/~fpm/eng/k13/k131/k13104h.htm

Last modified: September 5, 2013