Commutative matching Rota-Baxter operators, shuffle products with decorations and matching Zinbiel algebras

DOI10.1016/j.jalgebra.2021.06.032zbMath1496.17015arXiv2007.12095OpenAlexW3180834152MaRDI QIDQ2049380

Yi Zhang, Li Guo, Xing Gao

Publication date: 25 August 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12095

zbMATH Keywords

matching dendriform algebramatching Rota-Baxter algebramatching Zinbiel algebrashuffle product with decoration

Mathematics Subject Classification ID

Abstract integral equations, integral equations in abstract spaces (45N05) Free algebras (08B20) Associative rings and algebras with additional structure (16W99) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (10)

The algebraic and geometric classification of Zinbiel algebras ⋮ Hopf algebra of multidecorated rooted forests, free matching Rota-Baxter algebras and Gröbner-Shirshov bases ⋮ Rota–Baxter family Ω-associative conformal algebras and their cohomology theory ⋮ Zinbiel superalgebras ⋮ Compatible structures of nonsymmetric operads, Manin products and Koszul duality ⋮ Unnamed Item ⋮ Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras ⋮ An algebraic study of Volterra integral equations and their operator linearity ⋮ Matching Rota-Baxter BiHom-algebras and related algebraic structures ⋮ Symmetric Zinbiel superalgebras

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