FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2004, VOLUME 10, NUMBER 2, PAGES 51-134

Elementary equivalence of categories of modules over rings, endomorphism rings, and automorphism groups of modules

E. I. Bunina
A. V. Mikhalev

Abstract

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In this paper we give a small review of some recent results of elementary equivalence of linear and algebraic groups and our last new results of elementary equivalence of categories of modules, endomorphism rings of modules, lattices of submodules of modules, and automorphism groups of modules.

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Last modified: December 23, 2004