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Cosemisimple coextensions and homological dimension of smash coproducts.

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Publication:2581178
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DOI10.1007/s10114-005-0527-8zbMath1087.16028OpenAlexW3143299404MaRDI QIDQ2581178

Jiagui Zhu

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0527-8


zbMATH Keywords

coalgebrasglobal dimensionhomological dimensionssmash coproductscosemisimple Hopf algebras


Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10) Smash products of general Hopf actions (16S40)


Related Items (4)

Global dimension of weak smash product. ⋮ Some results on cohomology of twisted smash coproduct ⋮ Long bialgebras, dimodule algebras and quantum Yang-Baxter modules over Long bialgebras. ⋮ On the cohomology of comodules over smash coproducts



Cites Work

  • Unnamed Item
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  • Semisimple extensions and elements of trace 1
  • Finite Hopf-Galois coextensions, crossed coproducts, and duality
  • Crossed coproducts and cleft coextensions
  • Hereditary coalgebras
  • Cosemisimple hopf algebras coacting on coalgebras
  • Homological dimension of coalgebras and crossed coproducts


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