Weighted Tensor Products of Joyal Species, Graphs, and Charades
Category Theory
2016-01-19 v5
Abstract
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.
Keywords
Cite
@article{arxiv.1503.02783,
title = {Weighted Tensor Products of Joyal Species, Graphs, and Charades},
author = {Ross Street},
journal= {arXiv preprint arXiv:1503.02783},
year = {2016}
}