论文标题
一类BOL循环的半自动形态组
Half-automorphism group of a class of Bol loops
论文作者
论文摘要
BOL循环是满足BOL身份$（xy.z）y = x（yz.y）$的环路。如果$ l $是一个循环，而$ f：l \ to l $是一种双线，以至于$ f（xy）\ in \ {f（x）f（y），f（y）f（y）f（x）\} $，对于每个$ x $，$ y \ in l $，那么$ f $，那么$ f $，则称为$ f $ a Half-automorphism of $ l $ l $。在本文中，我们描述了一类BOL循环$ 400万美元的半自动形态组。
A Bol loop is a loop that satisfies the Bol identity $(xy.z)y=x(yz.y)$. If $L$ is a loop and $f:L\to L$ is a bijection such that $f(xy)\in\{f(x)f(y),f(y)f(x)\}$, for every $x$, $y\in L$, then $f$ is called a half-automorphism of $L$. In this paper, we describe the half-automorphism group of a class of Bol loops of order $4m$.
