文章基本信息
- 标题：On the Trace of a Permuting Tri-additive Mapping in Left s γ -unital Γ-rings
- 其他标题：On the Trace of a Permuting Tri-additive Mapping in Left sγ-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：2
- 页码：331-337
- DOI：10.3329/jsr.v3i2.7278
- 语种：English
- 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：Mathematics;Permuting tri-additive mappings; Skew-commuting mappings; Skew-centralizing mappings; Commuting mappings.
