Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (4): 777-782.

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Related Properties of Hom-LPNG Algebras

ZHANG Yongping1, WEI Zhu2, ZHANG Qingcheng2   

  1. 1. College of Science, Shenyang University of Chemical Technology, Shenyang 110142, China;
    2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
  • Received:2020-11-30 Online:2021-07-26 Published:2021-07-26

Abstract: We first gave the concept of Hom-LPNG algebras, and then solved some problems in the construction of Hom-LPNG algebras by using the newly defined operation method. We obtained the results of constructing Hom-LPNG algebras from Hom-commutative associative algebras, Novikov-Poisson algebras and LPNG algebras, and generating new Hom-LPNG algebras from known Hom-LPNG algebras.

Key words: Hom-LPNG algebra, Hom-Gel’fand-Dorfmand algebra, Hom-Novikov-Poisson algebra, Hom-commutative associative algebra

CLC Number: 

  • O152.5