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Ideals in Prime Rings with Derivations(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2009年05期
Page:
105-106
Research Field:
数理科学
Publishing date:

Info

Title:
Ideals in Prime Rings with Derivations
Author(s):
WANG Li1; CHEN Guang-hai1; DU Jun-hua2
1.School of Applied Sciences; Harbin University of Science and Technology; Harbin 150080; China; 2.School of Science; Qiqihar University; Qiqihar 161006; China
Keywords:
prime ring derivation torsion free
PACS:
O153.3
DOI:
-
Abstract:
In this paper,we discuss the property of ideals in prime rings with derivations.Let R is a prime rings with 6-torsion free,I is a nonzero ideal of R and Z is the center of R,if there exists a nonzero derivation d such that d(x3)∈Z and I∩Z≠{0}for all x∈I or [x,d(x2)]∈Z for all x∈I,then R is a commutative ring.

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Last Update: 2009-12-16