论文标题
超努力组和$ 3 $ -SUPERNILPOTENT LOOP
Supernilpotent groups and $3$-supernilpotent loops
论文作者
论文摘要
我们找到了$ 3 $ supernilpotent循环的各种方程式。我们还提供了一个简单的证据，表明$ k $ nilpotence和$ k $ -supernilpotence对于群体来说是等效的。探索了$ 3 $ -SUPERNILPOTENT LOOP，MOUFANG LOOP，代码循环，自动循环和AIM循环之间的连接。
We find a short equational basis for the variety of $3$-supernilpotent loops. We also present a conceptually simple proof that $k$-nilpotence and $k$-supernilpotence are equivalent for groups. Connections between $3$-supernilpotent loops, Moufang loops, code loops, automorphic loops and AIM loops are explored.
