吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (4): 724-732.

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保积BiHom-Poisson Color代数的广义导子

陈明露, 曹燕   

  1. 哈尔滨理工大学 理学院, 哈尔滨 150080
  • 收稿日期:2022-10-03 出版日期:2023-07-26 发布日期:2023-07-26
  • 通讯作者: 曹燕 E-mail:48069607@qq.com

Generalized Derivations of Multiplicative BiHom-Poisson Color Algebras

CHEN Minglu, CAO Yan   

  1. School of Science, Harbin University of Science and Technology, Harbin 150080, China
  • Received:2022-10-03 Online:2023-07-26 Published:2023-07-26

摘要: 给出保积BiHom-Poisson color代数A的导子代数Der(A)、 广义导子代数GDer(A)、 拟导子代数QDer(A)、 型心C(A), 拟型心QC(A)及中心导子代数ZDer(A)的一些基本性质, 并证明GDer(A)=QDer(A)+QC(A).

关键词: 保积BiHom-Poisson color代数, 广义导子, 拟导子, 型心

Abstract: We gave some basic properties of the derivation algebra Der(A), generalized derivation algebra GDer(A), quasiderivation algebra QDer(A), centroid C(A), quasicentroid QC(A) and central derivation algebra ZDer(A) of a multiplicative BiHom-Poisson color algebras A, and proved that GDer(A)=QDer(A)+QC(A).

Key words: multiplicative BiHom-Poisson color algebra, generalized derivation, quasiderivation, centroid

中图分类号: 

  • O152.5