Joyal种、图和字谜的加权张量积
Weighted Tensor Products of Joyal Species, Graphs, and Charades
摘要：
受代数序列上的加权Hurwitz积的启发，我们在Joyal种范畴上构造了一族Monoidal结构。我们建议一族张量积用于字谜游戏。我们首先看到加权导子代数和加权Rota-Baxter代数作为特殊幺半群和特殊半群，分别为同一幺半群结构的范畴上的图在一个幺半群加法范畴。加权推导被提升到分类水平。
英文摘要：
Motivated by the weighted Hurwitz product on sequences in an algebra, we produce a family of monoidal structures on the category of Joyal species. We suggest a family of tensor products for charades. We begin by seeing weighted derivational algebras and weighted Rota-Baxter algebras as special monoids and special semigroups, respectively, for the same monoidal structure on the category of graphs in a monoidal additive category. Weighted derivations are lifted to the categorical level.
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