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标题：Generalized Derivations Acting as Homomorphisms and Anti-Homomorphisms of Gamma Rings
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作者：K. K. Dey ; A. C. Paul
期刊名称：Journal of Scientific Research
印刷版ISSN：2070-0237
电子版ISSN：2070-0245
出版年度：2011
卷号：4
期号：1
页码：33
语种：English
出版社：Rajshahi University
摘要：Let M be a prime G-ring and let I be a nonzero ideal of M . Suppose that D : M ® M is a nonzero generalized derivation with associated derivation d : M ® M . Then we prove the following: (i) If D acts as a homomorphism on I , then either d = 0 on M or M is commutative. (ii) If M satisfies the assumption (*) (see below), and if D acts as an anti-homomorphism on I , then either d = 0 on M or M is commutative. Keywords : Prime G-rings; Generalized derivations; Torsion free G-rings; Homomorphisms; Anti-homomorphisms. © 2012 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved. doi: http://dx.doi.org/10.3329/jsr.v4i1.7911 J. Sci. Res. 4 (1), 33-37 (2012)
关键词：Prime Gamma-rings;generalized derivations;torsion free Gamma-rings;homomorphisms and anti-homomorphisms.