A nilmonoid is a nilsemigroup N with an identity element adjoined. New properties of the canonical presentation of N yield a more precise characterization of 2-cocycles, improvements in the computation of the cohomology of N , and a universal coefficients theorem.

中文翻译：

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nilmonoids 的交换上同调，重新审视

一个 nilmonoid 是一个 nilsemigroup N 与一个单位元素相邻。N 的规范表示的新特性产生了更精确的 2-cocycle 表征、N 上同调计算的改进以及通用系数定理。