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

被引：0

作者：

Bunina E.I. ^{[1
]}

Mikhalev A.V. ^{[1
]}

机构：

[1] Moscow State University,

来源：

Journal of Mathematical Sciences | 2006年 / 137卷 / 6期

关键词：

Direct Summand; Module Versus; Simple Module; Ordinal Number; Free Module;

D O I：

10.1007/s10958-006-0297-1

中图分类号：

学科分类号：

摘要：

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. © 2006 Springer Science+Business Media, Inc.

引用

页码：5275 / 5335

页数：60

共 16 条

[1] Beidar C.I., Mikhalev A.V., On Malcev's theorem on elementary equivalence of linear groups, Contemp. Math., 131, pp. 29-35, (1992)
[2] Bourbaki N., Les Structures Fondamentales de L'Analyse. Livre II. Algébre, (1966)
[3] Bunina E.I., Elementary equivalence of unitary linear groups over fields, Fund. Prikl. Mat., 4, 4, pp. 1265-1278, (1998)
[4] Bunina E.I., Elementary equivalence of unitary linear groups over rings and skewfields, Uspekhi Mat. Nauk, 53, 2, pp. 137-138, (1998)
[5] Bunina E.I., Elementary equivalence of Chevalley groups, Uspekhi Mat. Nauk, 156, 1, pp. 157-158, (2001)
[6] Bunina E.I., Elementary Equivalence of Linear and Algebraic Groups [in Russian], (2001)
[7] Chang C.C., Keisler H.J., Model Theory, (1973)
[8] Faith C., Algebra: Rings, Modules and Categories, 1, (1973)
[9] Golubchik I.Z., Mikhalev A.V., Isomorphisms of the general linear group over associative rings, Vestnik Moskov. Univ. Ser. 1 Mat. Mekh., 3, pp. 61-72, (1983)
[10] Lang S., Algebra, (1965)

← 1 2 →