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Linear and Multilinear Algebra Volume 64, 2016 - Issue 5
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Articles

Rota–Baxter coalgebras and Rota–Baxter bialgebras

Tianshui MaDepartment of Mathematics, School of Mathematics and Information Science, Henan Normal University, Xinxiang, China.;Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, School of Mathematics and Information Sciences, Henan Normal University, Xinxiang, China.Correspondence[email protected]
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Linlin LiuDepartment of Mathematics, School of Mathematics and Information Science, Henan Normal University, Xinxiang, China.View further author information
Pages 968-979 | Received 17 Jun 2015, Accepted 24 Jun 2015, Published online: 27 Jul 2015

Citations (18)

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Read on this site (3)

Tianshui Ma, Jie Li, Haiyan Yang & Shuanhong Wang. (2022) Double crossed biproducts and related structures. Communications in Algebra 50:10, pages 4517-4535.
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Tianshui Ma, Jie Li & Tao Yang. (2021) Coquasitriangular infinitesimal BiHom-bialgebras and related structures. Communications in Algebra 49:6, pages 2423-2443.
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Linlin Liu & Shuanhong Wang. (2020) Rota-Baxter H-operators and pre-Lie H-pseudoalgebras over a cocommutative Hopf algebra H. Linear and Multilinear Algebra 68:11, pages 2170-2184.
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Articles from other publishers (15)

Ismail Laraiedh. (2024) Rota–Baxter mock-Lie bialgebras and related structures. International Journal of Geometric Methods in Modern Physics 21:05.
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Ismail Laraiedh. (2024) Differential mock-Lie bialgebras and admissible mock-Lie Yang-Baxter equations. Journal of Geometry and Physics 198, pages 105135.
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R. Amor, N. Athmouni, A. Ben Hassine, T. Chtioui & S. Mabrouk. (2023) Cohomolgies of Rota-Baxter operators on Lie superalgebras and some classifications on Witt superalgebras. Journal of Geometry and Physics 185, pages 104733.
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Tianshui MA & Bei Lİ. (2022) Two results on double crossed biproducts. Hacettepe Journal of Mathematics and Statistics 51:4, pages 1121-1140.
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Xigou Zhang, Anqi Xu & Li Guo. (2022) Hopf algebra structure on free Rota–Baxter algebras by angularly decorated rooted trees. Journal of Algebraic Combinatorics 55:4, pages 1331-1349.
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Tianshui Ma, Jie Li, Liangyun Chen & Shuanhong Wang. (2022) Rota-Baxter operators on Turaev's Hopf group (co)algebras I: Basic definitions and related algebraic structures. Journal of Geometry and Physics 175, pages 104469.
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Yue Gu, Shuanhong Wang & Tianshui Ma. (2022) Rota–Baxter (Co)algebra Equation Systems and Rota–Baxter Hopf Algebras. Mathematics 10:3, pages 426.
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Maxim Goncharov. (2021) Rota-Baxter operators on cocommutative Hopf algebras. Journal of Algebra 582, pages 39-56.
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Tianshui Ma, Abdenacer Makhlouf & Sergei Silvestrov. (2020) Rota–Baxter cosystems and coquasitriangular mixed bialgebras. Journal of Algebra and Its Applications 20:04, pages 2150064.
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Tianshui MA, Jie Lİ & Haiyan YANG. (2021) Rota-Baxter bialgebra structures arising from (co-)quasi-idempotent elements. Hacettepe Journal of Mathematics and Statistics 50:1, pages 216-223.
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Huihui Zheng, Li Guo & Liangyun Zhang. (2020) Rota-Baxter paired modules and their constructions from Hopf algebras. Journal of Algebra 559, pages 601-624.
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Tianshui Ma & Haiyan Yang. (2020) Drinfeld Double for Infinitesimal BiHom-bialgebras. Advances in Applied Clifford Algebras 30:3.
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Xigou Zhang, Xing Gao & Li Guo. (2018) Modified Rota–Baxter Algebras, Shuffle Products and Hopf Algebras. Bulletin of the Malaysian Mathematical Sciences Society 42:6, pages 3047-3072.
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Yunnan Li. (2018) On weak peak quasisymmetric functions. Journal of Combinatorial Theory, Series A 158, pages 449-491.
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Tianshui Ma & Huihui Zheng. (2016) Some Results on Rota–Baxter Monoidal Hom-Algebras. Results in Mathematics 72:1-2, pages 145-170.
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