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International Mathematics Research Notices· 2012Q1

Splitting of Operations, Manin Products, and Rota–Baxter Operators

Chengming Bai, Olivier Bellier, Li Guo, Xiang Ni

Short summary

A new general operadic definition for splitting algebraic operations is introduced, shown to be equivalent to Manin products of operads for quadratic operads and related to Rota–Baxter operators.

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics