English

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

Rings and Algebras 2007-05-23 v1 Category Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0607334,
  title  = {Elementary Equivalence of Categories of Modules over Rings, Endomorphism Rings, and Automorphism Groups of Modules},
  author = {E. I. Bunina and A. V. Mikhalev},
  journal= {arXiv preprint arXiv:math/0607334},
  year   = {2007}
}

Comments

65 pages