有限对合拉丁quandles的中间平移
The middle translations of finite involutory latin quandles
摘要：
本文研究了有限对合拉丁quandle上的左（右）中平移及其表示。证明了奇数阶的循环群通过左中平移可以构造出一个奇数阶的左对合拉丁quandle。进一步研究了对合拉丁quandle的自旋的概念，证明了若Q是奇数阶左对合拉丁quandle，则所有右自旋（r-自旋）的集合在映射的合成下是奇数阶循环群.
英文摘要：
This paper studies the left (right) middle translations on finite involutory latin quandles and their representations. It also shows that a left involutory latin quandle of odd order n can be constructed from a cyclic group of odd order by the application of left middle translations. Furthermore, the concept of spins of involutory latin quandle is investigated, and it is shown that if Q is a left involutory latin quandle of odd order n, then the set of all right spins (r-spins) is a cyclic group of odd order n under composition of mapping.
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。
