论文标题
通过Quandle环的同性体系增强链接着色
Enhancements of link colorings via idempotents of quandle rings
论文作者
论文摘要
我们表明，Quandle戒指及其同性恋导致了3个空间中链接的众所周知的拼写不变的适当增强。我们提供明确的示例，以表明新不变的人也比$ \ hom $ quandle不变时强。我们为所有小于六个订单的问题提供计算机辅助计算，并确定所有diadempotents本身就是一个困境的集合。数据支持了我们对有限拉丁难题的整体拼图环的依据的猜想。我们还确定了一些小阶难题的复杂拼图代数的PEIRCE光谱。
We show that quandle rings and their idempotents lead to proper enhancements of the well-known quandle coloring invariant of links in the 3-space. We give explicit examples to show that the new invariants are also stronger than the $\Hom$ quandle invariant when the coloring quandles are medial. We provide computer assisted computations of idempotents for all quandles of order less than six, and also determine the ones for which the set of all idempotents is itself a quandle. The data supports our conjecture about triviality of idempotents of integral quandle rings of finite latin quandles. We also determine Peirce spectra for complex quandle algebras of some small order quandles.
