In the paper we introduce a general approach how for a given virtual biquandle multi-switch $(S,V)$ on an algebraic system $X$ (from some category) and a given virtual link $L$ construct an algebraic system $X_{S,V}(L)$ (from the same category) which is an invariant of $L$. As a corollary we introduce a new quandle invariant for virtual links which generalizes previously known quandle invariants for virtual links.

中文翻译：

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多开关和虚拟结不变量

在论文中，我们介绍了一种通用方法，如何在代数系统 $X$（来自某个类别）和给定虚拟链接 $L$ 上为给定的虚拟双圈多开关 $(S,V)$ 构建代数系统 $X_ {S,V}(L)$（来自同一类别）是 $L$ 的不变量。作为推论，我们为虚拟链接引入了一个新的 quandle 不变量，它概括了以前已知的虚拟链接的 quandle 不变量。