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Communications in Algebra Volume 32, 2004 - Issue 9
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Original Articles

Fundamental Theorems of Weak Doi–Hopf Modules and Semisimple Weak Smash Product Hopf Algebras

Zhang Liangyun Department of Mathematics, Nanjing University, Nanjing, P.R. China; Department of Mathematics, Nanjing Agricultural University, Nanjing, 210095, P.R. ChinaCorrespondence[email protected]
&
Zhu Shenglin Department of Mathematics, Fudan University, Shanghai, P.R. China
Pages 3403-3415 | Received 01 Feb 2003, Accepted 01 Apr 2004, Published online: 01 Feb 2007

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Zhong-wei Wang, Cong Chen & Liang-yun Zhang. (2017) Morita equivalence for weak Hopf–Galois extensions. Communications in Algebra 45:1, pages 162-182.
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Liang-yun Zhang. (2010) The Structure Theorems of Weak Hopf Algebras. Communications in Algebra 38:4, pages 1269-1281.
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Liang-yun Zhang. (2009) The Structure Theorem of Weak Comodule Algebras. Communications in Algebra 38:1, pages 254-260.
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Bing-Liang Shen & Shuan-Hong Wang. (2008) Blattner–Cohen–Montgomery's Duality Theorem for (Weak) Group Smash Products. Communications in Algebra 36:6, pages 2387-2409.
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Zhang Liangyun. (2005) Weak smash products, weak braided products and weak Hopf quantum Yang–Baxter modules. Progress in Natural Science 15:10, pages 887-895.
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Articles from other publishers (12)

J.N. Alonso Álvarez, J.M. Fernández Vilaboa, R. González Rodríguez & M.P. López López. (2020) Faithfully flat descent for magmas. Journal of Pure and Applied Algebra 224:2, pages 586-609.
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Wen-juan Zhai & Liang-yun Zhang. (2011) Maschke’s theorem for smash products of quasitriangular weak Hopf algebras. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 81:1, pages 35-44.
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Q. X. Pan & L. Y. Zhang. (2011) A Maschke-type theorem for weak (A, B)-Doi-Hopf modules. Mathematical Notes 89:1-2, pages 98-105.
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К К Пан, Q X Pan, К К Пан, Q X Pan, Лианг-юн Жанг & Liang-ung Jang. (2011) Теорема типа Машке для слабых $(A,B)$-модулей Дои - ХопфаA Maschke-Type Theorem for Weak $(A,B)$-Doi - Hopf Modules. Математические заметки Matematicheskie Zametki 89:1, pages 82-90.
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L. Zhang & Y. Li. (2011) Homomorphisms, separable extensions, and Morita maps for weak module algebras. Siberian Mathematical Journal 52:1, pages 167-177.
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Yu. Wang & L. Yu. Zhang. (2010) The structure theorem for weak module coalgebras. Mathematical Notes 88:1-2, pages 3-15.
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Ю Ванг, Yu Wang, Лианг-юн Жанг & Liang-ung Jang. (2010) Структурная теорема для слабых модульных коалгебрThe Structure Theorem for Weak Module Coalgebras. Математические заметки Matematicheskie Zametki 88:1, pages 3-17.
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Bo Hou, Zilong Zhang & Bingling Cai. (2009) The Fundamental Theorem of Entwined Modules. The Fundamental Theorem of Entwined Modules.
Zhi-min Cai & Liang-yun Zhang. (2007) The fundamental theorem about weak relative [C, H]-Hopf modules. Mathematical Notes 82:3-4, pages 474-480.
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Жи-мин Цай, Zhi-min Tsaj, Лианг-юн Жанг & Liang-yun Zhang. (2007) Фундаментальная теорема о слабых относительных $[C,H]$-модулях ХопфаThe Fundamental Theorem about Weak Relative $[C,H]$-Hopf modules. Математические заметки Matematicheskie Zametki 82:4, pages 530-537.
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Ling Jia & Fang Li. (2006) Global dimension of weak smash product. Journal of Zhejiang University-SCIENCE A 7:12, pages 2088-2092.
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Liangyun Zhang. (2006) Maschke-type theorem and Morita context over weak Hopf algebras. Science in China Series A 49:5, pages 587-598.
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