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Some Properties of A*H Over Weak Hopf Algebras

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Green Communications and Networks

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 113))

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Abstract

Let H be a weak Hopf algebra and A an H-module algebra. Using the properties of the trace function we describe some properties of A*H over Weak Hopf Algebras.

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References

  1. Bohm G, Nill F, Szlachanyi K (1999) Weak Hopf algebras I: integral theory and C* structure. J Algebra 221:385

    Article  MathSciNet  Google Scholar 

  2. Sweedler ME (1969) Hopf algebras. Berjamin, New York

    Google Scholar 

  3. Hirata K, Sugano K (1966) On semisimple extensions and separable extensions over non commutative rings. J Math Soc Japn 18(4):360–373

    Article  MATH  MathSciNet  Google Scholar 

  4. Cohen M, Fishman D (1986) Hopf algebra actions. J Algebra 10:363–379

    Article  MathSciNet  Google Scholar 

  5. Wang S, Li JQ (1998) On twisted smash products for bimodules algebras and the drinfel`d double. Commun Algebra 26:2435–2444

    Article  MATH  Google Scholar 

  6. Zheng N (2009) Smash biproduct over weak Hopf Algebras. Adv Math (05):003–006

    Google Scholar 

  7. Shi M (2008) The complexity of smash product. Adv Math (05):010–015

    Google Scholar 

  8. Jiao Z, Li J (2009) The L-R weak smash product over weak Hopf algebras. Journal of Henan Normal University(Natural Science) (01):002–006

    Google Scholar 

  9. Ling J (2009) Maschke-type therems for weak smash coproducts. J Math Res Expo (04):028–033

    Google Scholar 

  10. Yin Y, Zhang M (2009) The structure theorem for weak Hopf Algebras. Adv Math (06):011–016

    Google Scholar 

  11. Ju T (2010) Cocyclic module constructed by the right adjoint action of Hopf algebras. J Math (02):221–230

    Google Scholar 

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Author information

Authors and Affiliations

  1. College of Sciences, Hebei United University, Tangshan, Hebei, China

    Yan Yan & Chunfeng Liu Bing Han

Authors
  1. Yan Yan
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  2. Chunfeng Liu Bing Han
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Corresponding author

Correspondence to Yan Yan .

Editor information

Editors and Affiliations

  1. , Department of Electronic Engineering, Shanghai Jiao Tong University, Dongchuan Road 800, Shanghai, 200240, China, People's Republic

    Yuhang Yang

  2. , Electrical & Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore, 639798, Singapore

    Maode Ma

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© 2012 Springer Science+Business Media B.V.

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Yan, Y., Han, C.L.B. (2012). Some Properties of A*H Over Weak Hopf Algebras. In: Yang, Y., Ma, M. (eds) Green Communications and Networks. Lecture Notes in Electrical Engineering, vol 113. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2169-2_90

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  • DOI: https://doi.org/10.1007/978-94-007-2169-2_90

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-2168-5

  • Online ISBN: 978-94-007-2169-2

  • eBook Packages: EngineeringEngineering (R0)

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