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math.RA2022
-TD algebras, generalized shuffle products and left counital Hopf algebras
Hengyi Luo, Shanghua Zheng
The theory of operated algebras has played a pivotal role in mathematics and physics. In this paper, we introduce a -TD algebra that appropriately includes both the Rota-Baxter…
math.RA2022
Quivers and path semigroups characterized by locality conditions
Li Guo, Shanghua Zheng
The notion of locality semigroups was recently introduced with motivation from locality in convex geometry and quantum field theory. We show that there is a natural correspondence…