Elementary Equivalence of Categories of Modules over Rings, Endomorphism Rings, and Automorphism Groups of Modules

Details Elementary Equivalence of Categories of Modules over Rings, Endomorphism Rings, and Automorphism Groups of Modules Elementary Equivalence of Categories of Modules over Rings, Endomorphism Rings, and Automorphism Groups of Modules

2006-07-14

arxiv.org/abs/math/0607334v1

Fundamentalnaya i Prikladnaya Matematika, 2004, 10(2), 51-134 (in Russian)

Mathematics

Rings and Algebras

65 pages

Scientific paper

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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