Generating sets of Reidemeister moves of oriented singular links and quandles
Generating sets of Reidemeister moves of oriented singular links and quandles
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生成定向奇异链接和问题的 Reidemeister 移动集
DOI：
10.1142/s0218216518500645
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发表时间：
2017
影响因子：
0.5
通讯作者：
William Youmans
中科院分区：
文献类型：
--
作者：
K. Bataineh;M. Elhamdadi;Mustafa Hajij;William Youmans
给出了有向奇异连杆的广义Reidemeister运动的生成集。然后，我们引入了一个由有向奇异节上Reidemeister运动的公理化引起的代数结构。我们给出了一些例子，包括这些结构在非阿贝尔群上的一些非同构族。我们证明了这种新结构的奇异结着色集是有向奇异结的不变量，并用它来区分一些奇异环。
We give a generating set of the generalized Reidemeister moves for oriented singular links. We then introduce an algebraic structure arising from the axiomatization of Reidemeister moves on oriented singular knots. We give some examples, including some non-isomorphic families of such structures over non-abelian groups. We show that the set of colorings of a singular knot by this new structure is an invariant of oriented singular knots and use it to distinguish some singular links.