Extended Modules and Ore Extensions

被引：13

作者：

Artamonov V. ^{[1
]}

Lezama O. ^{[2
]}

Fajardo W. ^{[2
]}

机构：

[1] Moscow State University, Moscow

[2] Universidad Nacional de Colombia, Bogotá

来源：

Communications in Mathematics and Statistics | 2016年 / 4卷 / 2期

关键词：

Extended modules and rings; Ore extensions; Quillen–Suslin’s methods;

D O I：

10.1007/s40304-015-0081-y

中图分类号：

学科分类号：

摘要：

In this paper, we study extended modules for a special class of Ore extensions. We will assume that R is a ring and A will denote the Ore extension A: = R[ x1, … , xn; σ] for which σ is an automorphism of R, xixj= xjxi and xir= σ(r) xi, for every 1 ≤ i, j≤ n. With some extra conditions over the ring R, we will prove Vaserstein’s, Quillen’s patching, Horrocks’, and Quillen–Suslin’s theorems for this type of non-commutative rings. © 2016, School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag Berlin Heidelberg.

引用

页码：189 / 202

页数：13

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