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

E. I. Bunina; A. V. Mikhalev

doi:10.1007/s10958-006-0297-1

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

E. I. Bunina
, A. V. Mikhalev

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	5275-5335
Number of pages	61
Journal	Journal of Mathematical Sciences (United States)
Volume	137
Issue number	6
DOIs	https://doi.org/10.1007/s10958-006-0297-1
State	Published - Sep 2006
Externally published	Yes

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

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