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

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Abstract

In this paper we give a brief 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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Authors and Affiliations

  1. Moscow State University, Russia

    E. I. Bunina & A. V. Mikhalev

Authors
  1. E. I. Bunina
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  2. A. V. Mikhalev
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Translated from Fundamentalnaya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 10, No. 2, pp. 51–134, 2004.

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Bunina, E.I., Mikhalev, A.V. Elementary equivalence of categories of modules over rings, endomorphism rings, and automorphism groups of modules. J Math Sci 137, 5275–5335 (2006). https://doi.org/10.1007/s10958-006-0297-1

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  • DOI: https://doi.org/10.1007/s10958-006-0297-1

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