非对易系数形式幂级数的替换环
The loop of formal power series with noncommutative coefficients under substitution
摘要：
结合非交换代数中系数的形式幂级数的集合成为具有替换积的环。我们通过描述与之相关的某些李代数和Sabinin代数来开始对这一环的研究，自然地出现了一些满足$5$和$6$标准度恒等式的李代数的例子。
英文摘要：
The set of formal power series with coefficients in an associative but noncommutative algebra becomes a loop with the substitution product. We initiate the study of this loop by describing certain Lie and Sabinin algebras related to it. Some examples of Lie algebras satisfying the standard identities of degrees $5$ and $6$ appear naturally.
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。
