文章基本信息
- 标题：On the Trace of a Permuting Tri-additive Mapping in Left s γ -unital 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：02
- 页码：331-337
- DOI：10.3329/jsr.v3i2.7278
- 出版社：Rajshahi University
- 摘要：
Let M be 2 and 3 torsion-free left sΓ-unital Γ-rings. Let D : M ×M ×M ® M be a permuting tri-additive mapping with the trace d ( x ) = D ( x,x,x ). Let σ: M ® M be an endomorphism and τ : M ® M an epimorphism. The objective of this paper is to prove the following: a) If d is ( σ,τ )-skew commuting on M , then D = 0; b) If d is ( τ,τ )-skew-centralizing on M , then d is ( τ,τ )-commuting on M; c) If d is 2-( σ,τ )-commuting on M , then d is ( σ,τ )-commuting on M .
Keywords : Permuting tri-additive mappings; Skew-commuting mappings; Skew-centralizing mappings; Commuting mappings.
© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.
doi:10.3329/jsr.v3i2.7278 J. Sci. Res. 3 (2), 331-337 (2011)
- 关键词：Permuting tri-additive mappings
