A Note on Constants of Integral Derivations in Semiprime Rings

被引：1

作者：

Chen, Yen-Jen ^{[1
]}

Lee, Tsiu-Kwen ^{[1
]}

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan

来源：

COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 02期

关键词：

Integral derivation; PI; Quotient ring; Semiprime ring; 16W25; 16S36; 16N60; ALGEBRAIC DERIVATIONS; POLYNOMIAL IDENTITY;

D O I：

10.1080/00927872.2011.567404

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a semiprime ring with extended centroid C and with Q its Martindale symmetric ring of quotients. Suppose that : RR is a C-integral derivation. For a subring A of Q, let A() denote the subring of constants of in A. We prove that R() and Q() satisfy the same polynomial identities with coefficients in C. In particular, R() is not nil of bounded index.

引用

页码：792 / 796

页数：5

共 7 条

[1]

Beidar K. I., 1996, RINGS GEN IDENTITIES

[2] Algebraic derivations with constants satisfying a polynomial identity [J].