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一类Hom-泊松着色代数的结构

The structure of a Hom-Poisson color algebras
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摘要 给出了Hom-泊松着色代数和Hom-可许泊松着色代数的概念,证明了在张量积的运算下Hom-泊松着色代数是封闭的,并且通过Hom-可许泊松着色代数及其上的非结合二元运算等价定义了Hom-泊松着色代数. The concepts of Hom-Poisson color algebra and Hom-admissible Poisson color algebra are given. It is proved that Hom-Poisson color algebra is closed under the tensor products operation. Moreover, Hom-Poisson color algebra is defined by Hom-admissible Poisson color algebra and its non-associative binary operation.
作者 徐建国 王颂 王聪 XU Jian-guo;WANG Song;WANG Cong(School of Mathematics,Tonghua Normal University,Tonghua 134000,China;School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)
出处 《东北师大学报(自然科学版)》 CAS 北大核心 2019年第3期1-5,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 吉林省自然科学基金资助项目(201301068JC)
关键词 反对称特征标 Hom-泊松着色代数 Hom-可许泊松着色代数 skew-symmetric character Hom-Poisson color algebra Hom-admissible Poisson color algebra
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