Cocycle Hopf Algebra Structures on Free Modified Rota–Baxter Algebras by Vertex-decorated Rooted Trees

Shanghua Zheng, Yukun Liu

Acta Mathematica Sinica ›› 2026, Vol. 42 ›› Issue (2) : 508-540.

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Acta Mathematica Sinica ›› 2026, Vol. 42 ›› Issue (2) : 508-540. DOI: 10.1007/s10114-026-4240-8
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Cocycle Hopf Algebra Structures on Free Modified Rota–Baxter Algebras by Vertex-decorated Rooted Trees

  • Shanghua Zheng, Yukun Liu
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{{article.zuoZheEn_L}}. {{article.title_en}}. Acta Mathematica Sinica, 2026, 42(2): 508-540 https://doi.org/10.1007/s10114-026-4240-8

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