Journal of Jilin University Science Edition

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Novikov Color Algebra and Tortken Color Algebra

GAO Xiujuan, XU Liyuan   

  1. School of Mathematics, Baicheng Normal University, Baicheng 137000, Jilin Province, China
  • Received:2015-06-17 Online:2016-03-26 Published:2016-03-23
  • Contact: XU Liyuan E-mail:xuly808@eyou.com

Abstract:

Three concepts of Novikov color algebra, Tortken color algebra and Jordan color algebra were defined, then the relations among three algebras were discussed. We gave the basic properties of Novikov color algebra and Tortken color algebra. Then we proved a Tortken color algebra with an identity
element is both associative and color commutative. We also showed how to use Novikov color algebra to construct a Tortken color algebra.

Key words: Novikov color algebra, Tortken color algebra, color algebra, derivation

CLC Number: 

  • O152.5