We describe some method that associates two chain complexes to every X and every mapping Q : X × X × X → X satisfying a few conditions motivated by Reidemeister moves. These complexes differ by boundary homomorphisms: For one complex, the boundary homomorphism is the difference of two operators; and for the other, their sum. We prove that each element of the third cohomology group of these complexes correctly defines an invariant of oriented links. We provide the results of calculations of cohomology groups for all various mappings Q on sets of order at most 4.

中文翻译：

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共环类拟态结不变量

我们描述了一些将两个链复合体与每个 X 和每个映射 Q 相关联的方法：X × X × X → X 满足由 Reidemeister 移动激发的一些条件。这些复形因边界同态而不同：对于一个复形，边界同态是两个算子的差；另一方面，他们的总和。我们证明了这些复合体的第三个上同调群的每个元素都正确地定义了一个定向链接的不变量。我们提供了对最多 4 阶的所有各种映射 Q 的上同调群的计算结果。