Ternutator身份
Ternutator Identities
摘要：
三元交换子或三重交换子，定义为三个算子乘积的交替和，作为一种推广交换子的有趣结构，最近引起了人们的广泛关注。的ternutator满足类似于二次Jacobi身份的交换子的三次身份。我们提出了各种形式的这些身份，并讨论了使用它们来定义三元代数的可能性。
英文摘要：
The ternary commutator or ternutator, defined as the alternating sum of the product of three operators, has recently drawn much attention as an interesting structure generalising the commutator. The ternutator satisfies cubic identities analogous to the quadratic Jacobi identity for the commutator. We present various forms of these identities and discuss the possibility of using them to define ternary algebras.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
