FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 7, PAGES 181-196

**Typical equivalence of linear groups and other algebraic systems**

A. D. Maksimov

Abstract

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The paper is devoted to the notion of typical equivalence introduced
by B. I. Plotkin.
We give some examples of elementarily equivalent objects that are not
typically equivalent and show two ways to construct nonisomorphic
typically equivalent algebras.
We also prove A. I. Maltsev's theorem on elementary
equivalence of linear groups over fields for the case of typical
equivalence.

Location: http://mech.math.msu.su/~fpm/eng/k10/k107/k10708h.htm

Last modified: October 21, 2011