论文标题
正态性，核方形和奥斯本身份
Normality, nuclear squares and Osborn identities
论文作者
论文摘要
令$ Q $为循环。如果$ s \ leq q $使得$ \ subseteq s $对于$ \ mathrm {inn}（q）$的每个标准生成器，则$ s $不必是普通的subloop。在LC环中，左侧和中部核重合并形成正常的司伐。通过应用核识别概念获得Osborn环的身份，并讨论了Osborn环与Moufang和CC环的各种连接。每个Osborn环具有正常的核，该核与左，右和中部核一致。既是布克斯泰因剂又是奥斯本（Osborn）的环为循环，每个正方形在细胞核中。
Let $Q$ be a loop. If $S\leq Q$ is such that $φ(S) \subseteq S$ for each standard generator of $\mathrm{Inn}(Q)$, then $S$ does not have to be a normal subloop. In an LC loop the left and middle nucleus coincide and form a normal subloop. The identities of Osborn loops are obtained by applying the idea of nuclear identification, and various connections of Osborn loops to Moufang and CC loops are discussed. Every Osborn loop possesses a normal nucleus, and this nucleus coincides with the left, the right and the middle nucleus. Loops that are both Buchsteiner and Osborn are characterized as loops in which each square is in the nucleus.
