论文标题
qu
Multiplication of quandle structures
论文作者
论文摘要
我们概括了$ q $ family的Quandles和$ g $ family of Quandles的构建，这些Quandles是在A. Ishii，M。Iwakiri，Y。Jang，K。Oshiro的论文中介绍的，并与其他Quandles结构找到了联系。我们定义了Quandl结构的组成，该结构在同一集合上定义，并找到该组成给出的条件。此外，我们证明，在此乘法下，我们得到了一个小组，并表明该组是Abelian。
We generalise the construction of $Q$-family of quandles and $G$-family of quandles which were introduced in the paper of A. Ishii, M. Iwakiri, Y. Jang, K. Oshiro, and find connection with other constructions of quandles. We define a composition of quandl's structures, which are defined on the same set and find conditions under which this composition gives a quandle. Further we prove that under this multiplication we get a group and show that this group is abelian.
