论文标题
具有轨道序列条件的困境
Quandles with orbit series conditions
论文作者
论文摘要
我们介绍了一个难题中轨道系列的概念。使用这个概念，我们根据其轨道系列中的有限条件来定义四个Quandles家族。直觉上，TOS和TOSN的类对应于琐碎的难题的有限组成，而OS和OSN类对应于连接的Quandles的限量组成。我们研究了这四个难题家族的特性，并探索了它们与几个先前研究的难题家族的关系：还原性，还原性，局部还原性，N-核减少和可解决的问题。
We introduce the notion of an orbit series in a quandle. Using this notion we define four families of quandles based on finiteness conditions on their orbit series. Intuitively, the classes tOS and tOSn correspond to finitary compositions of trivial quandles while the classes OS and OSn correspond to finitary compositions of connected quandles. We study properties of these four families of quandles and explore their relationships with several previously studied families of quandles: reductive, n-reductive, locally reductive, n-locally reductive, and solvable quandles.
