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math.CT2026
Induced structures of operated algebras with applications to multi-Novikov algebras
Li Guo, Xiaoyan Wang, Huhu Zhang
We provide a general notion of induced structures of operated algebras in the context of unary-binary operads. This notion fully captures the binary quadratic relations encoded by…
math.CT2023
Compatible structures of operads by polarization, their Koszul duality and Manin products
Huhu Zhang, Xing Gao, Li Guo
Algebraic structures with multiple copies of a given type of operations interrelated by various compatibility conditions have long being studied in mathematics and mathematical phy…
math.CT2021
Compatible structures on unary binary nonsymmetric operads with quadratic and cubic relations
Xing Gao, Li Guo, Huhu Zhang
Various compatibility conditions among replicated copies of operations in a given algebraic structure have appeared in broad contexts in recent years. Taking an uniform approach, t…