Automorphisms and model-theory questions for Nilpotent matrix groups and rings

被引：0

作者：

Levchuk V.M. ^{[1
]}

Minakova E.V. ^{[1
]}

机构：

[1] Siberian Federal University, Krasnoyarsk

来源：

Journal of Mathematical Sciences | 2010年 / 166卷 / 5期

基金：

俄罗斯基础研究基金会;

关键词：

Associative Ring; Matrix Ring; Central Idempotent; Adjoint Group; Elementary Sentence;

D O I：

10.1007/s10958-010-9883-3

中图分类号：

学科分类号：

摘要：

Let R′ = NT(m, S). The purpose of this paper is to investigate elementary equivalences UT(n,K) ≡ UT(m, S) and Λ(R) ≡ Λ(R′) for arbitrary associative coefficient rings with identity. The main theorem gives the description of such equivalences for n > 4. In addition, we investigate isomorphisms and elementary equivalence of Jordan niltriangular matrix rings. © 2010 Springer Science+Business Media, Inc.

引用

页码：675 / 681

页数：6

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