关于任意代数中Fibonacci元的几点注记
Some remarks about Fibonacci elements in an arbitrary algebra
摘要：
本文证明了任意代数中Fibonacci元之间的一些关系。此外，我们还定义了虚Fibonacci四元数和虚Fibonacci八元数，证明了任意三个虚Fibonacci四元数都是线性无关的，并且任意三个虚Fibonacci八元数的混合积为零。
英文摘要：
In this paper, we prove some relations between Fibonacci elements in an arbitrary algebra. Moreover, we define imaginary Fibonacci quaternions and imaginary Fibonacci octonions and we prove that always three arbitrary imaginary Fibonacci quaternions are linear independents and the mixed product of three arbitrary imaginary Fibonacci octonions is zero.
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。
