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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

References

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  • Böhm , G. 2000 . Doi-Hopf modules over weak Hopf algebras . Comm. Algebra , 28 ( 10 ) : 4687 – 4698 .
  • Doi , Y. 1983 . On the structure of relative Hopf modules . Comm. Algebra , 11 ( 3 ) : 243 – 255 .
  • Doi , Y. and Takeuchi , M. 1989 . Hopf–galois extensions of algebras, the Miyashita-Ulbrich action, and Azamaya algebras . J. Algebra , 121 : 488 – 516 .
  • Molnar , R. K. 1977 . Semi-direct products of Hopf algebras . J. Algebra , 47 : 29 – 51 .
  • Nikshych , D. 2000 . A duality theorem for quantum groupoids . Contemp. Math. , 267 : 237 – 243 .
  • Sweedler , M. E. 1969 . Hopf Algebras New York : Benjamin .
  • #Communicated by M. Cohen.

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