Goldie conditions for ore extensions over semiprime rings

被引：14
|
作者：
Leroy, A
Matczuk, J
机构：
[1] Univ Artois, Fac Jean Perrin, F-62307 Lens, France
[2] Warsaw Univ, Inst Math, PL-02097 Warsaw, Poland
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2005年 / 8卷 / 05期
关键词：
ore extensions; Goldie conditions;
D O I：
10.1007/s10468-005-0707-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a ring, sigma an injective endomorphism of R and delta a sigma-derivation of R. We prove that if R is semiprime left Goldie then the same holds for the Ore extension R[x; sigma, delta] and both rings have the same left uniform dimension.
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页码：679 / 688
页数：10
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