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.
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页码：675 / 681
页数：6
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