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  • 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.
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