一族奇阶n = 2m +1的Nafil环的构造
Construction of a Family of Nafil Loops of Odd Order n = 2m +1
摘要：
通过构造证明了每一个奇数阶n => 5的NAFIL环的存在性。这些是简单的幂结合的非结合有限可逆循环，它们形成一个无限族。这个家族的第一个成员是阶数n = 5的NAFIL环，它被认为定义了一个李代数，在粒子物理学中有一些可能的应用。
英文摘要：
The existence of NAFIL loops of every odd order n => 5 is established by construction. These are non-associative finite invertible loops that are simple and power-associative and they form an infinite family. The first member of this family is the NAFIL loop of order n = 5 which is known to define a Lie algebra with some possible applications in particle physics.
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。
