GOLDIE RANKS OF SKEW POWER SERIES RINGS OF AUTOMORPHIC TYPE

被引：5
|
作者：
Letzter, Edward S. [1 ]
Wang, Linhong [2 ]
机构：
[1] Temple Univ, Dept Math, Philadelphia, PA 19122 USA
[2] SE Louisiana Univ, Dept Math, Hammond, LA 70402 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 06期
关键词：
Goldie Rank; Noncommutative noetherian ring; Prime ideal; Skew Laurent series; Skew power series; DIFFERENTIAL OPERATOR RINGS; ORE EXTENSIONS; PRIME IDEALS; DIMENSION; COMPLETIONS; ALGEBRAS;
D O I：
10.1080/00927872.2011.555801
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be a semprime, right noetherian ring equipped with an automorphism alpha, and let B: = A[[y; alpha]] denote the corresponding skew power series ring (which is also semiprime and right noetherian). We prove that the Goldie ranks of A and B are equal. We also record applications to induced ideals.
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页码：1911 / 1917
页数：7
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