论文标题

指数两个的免费bol循环

Free Bol loops of exponent two

论文作者

Grishkov, Alexandre, Rasskazova, Marina, Anjos, Giliard Souza dos

论文摘要

bol循环是满足身份$ x((yz)y)=(((xy)z)y $的环路。在本文中,我们构建了指数二的免费BOL循环。我们定义了其所有要素的规范形式,并根据这种形式描述其乘法定律。

A Bol loop is a loop that satisfies the identity $x((yz)y)=((xy)z)y$. In this paper, we give a construction of the free Bol loops of exponent two. We define a canonical form of all their elements and describe their multiplication law based on this form.

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