文章基本信息
- 标题：On a Pair of (σ, τ)-derivations of Semiprime Γ-rings
- 其他标题：On a Pair of (σ, τ)-derivations of Semiprime Γ-rings
- 本地全文：下载
- 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：3
- 期号：3
- 页码：515-524
- DOI：10.3329/jsr.v3i3.7659
- 语种：English
- 出版社：Rajshahi University
- 摘要：Let M be a 2-torsion free G-ring satisfying an assumption and let s,t be centralizing epimorphisms on M. Let f and g be (s, t)-derivations on M such that f(x)αx + xαg(x) = 0 for all xÎM, αÎG. Then we prove that f(u)β[x, y]α = g(u)β[x, y]α = 0 for all x, y, uÎM, α,βÎG and f, g map M into its center.Keywords. Epimorphism; Commuting; Map; Centralizing map; α-derivation; (α, β)-derivation; Prime Gamma-ring; Semiprime Gamma-ring© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi:10.3329/jsr.v3i3.7659 J. Sci. Res. 3 (3), 525-534 (2011)
- 关键词：Mathematics;Epimorphism; Commuting; Map; Centralizing map; alpha-derivation; (alpha;beta)-derivation; Prime Gamma-ring; Semiprime Gamma-ring.
