非结合有限可逆环（NAFIL）的结构
The Structure of Non-Associative Finite Invertible Loops (NAFIL)*
摘要：
NAFIL是一个有限循环，其中每个元素都有一个唯一的（双侧）逆。NAFIL循环可以分为两种类型：复合（至少有一个非平凡子系统）和非复合或普通（没有任何非平凡子系统）。本文讨论了这些循环的结构。特别是，我们将介绍一类重要的复合NAFIL循环称为块产品。
英文摘要：
The NAFIL is a finite loop in which every element has a unique (two-sided)inverse. NAFIL loops can be classified into two types: composite (with at least one non-trivial subsystem) and non-composite or plain (without any non-trivial subsystem). This paper deals with the structure of these loops. In particular we shall introduce an important class of composite NAFIL loops called block products.
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。
