Journal of East China Normal University(Natural Science) ›› 2021, Vol. 2021 ›› Issue (6): 15-23.doi: 10.3969/j.issn.1000-5641.2021.06.002

• Mathematics • Previous Articles     Next Articles

The structure of 3-Lie-Rinehart algebras

Ruipu BAI1,2(), Xiaojuan LI1,2   

  1. 1. College of Mathematics and Information Science, Hebei University, Baoding Hebei  071002, China
    2. Key Laboratory of Machine Learning and Computational Intelligence of Hebei Province, Baoding Hebei  071002, China
  • Received:2020-04-01 Online:2021-11-25 Published:2021-11-26


In this paper, we introduce a class of 3-ary algebras, called the 3-Lie-Rinehart algebra, and we discuss the basic structure thereof. The 3-Lie-Rinehart algebras are constructed using 3-ary differentiable functions, modules of known 3-Lie algebras, and inner derivatives of 3-Lie algebras.

Key words: 3-Lie algebra, commutative associative algebra, 3-Lie-Rinehart algebra

CLC Number: