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Word operads and admissible orderings
Applied Categorical Structures ( IF 0.6 ) Pub Date : 2020-01-18 , DOI: 10.1007/s10485-020-09591-0
Vladimir Dotsenko

We use Giraudo’s construction of combinatorial operads from monoids to offer a conceptual explanation of the origins of Hoffbeck’s path sequences of shuffle trees, and use it to define new monomial orders of shuffle trees. One such order is utilised to exhibit a quadratic Gröbner basis of the Poisson operad.

中文翻译:

字操作数和可接受的排序

我们使用 Giraudo 从幺半群构建组合操作数来提供对 Hoffbeck 随机树路径序列起源的概念解释,并用它来定义随机树的新单项式顺序。一个这样的阶被用来展示泊松操作数的二次 Gröbner 基。
更新日期:2020-01-18
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