116
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On Cleft Extensions of the Tensor Product of Two Hopf Algebras

&
Pages 4299-4332 | Received 27 Jan 2012, Published online: 25 Aug 2013

REFERENCES

  • Nakajima , A. ( 1989 ). A certain type of commutative Hopf Galois extensions and their groups . Math. J. Okayama University 14 : 3053 – 3085 .
  • Schneider , H. J. ( 1992 ). Noemal basis and transitivity of crossed products for Hopf Algebras . J. Algebra 152 : 289 – 312 .
  • Kreimer , H. F. , Takeuchi , M. ( 1981 ). Hopf algebras and galois extensions of an algebra . Indiana University Mathematics Journal 5 : 675 – 692 .
  • Sweelder , M. ( 1969 ). Hopf Algebras . New YorK : Benjamin .
  • Takeuchi , M. A Private communication: 1-27-6 . Cleft Comodule Algebra for H(u, p m ) .
  • Blattner , R. , Montgomery , S. ( 1986 ). Crossed products and inner action of Hopf algebras . Trans. Amer. Math. 298 : 671 – 411 .
  • Blattner , R. , Montgomery , S. (1989). Crossed products and Galois extensions of Hopf algebras. Pacific J. Math. Soc. 137:37–54.
  • Doi , Y. ( 1989 ). Equivalent crossed product for a Hopf algebra . Comm. Algebra 14 : 3053 – 3085 .
  • Montgomery , S. ( 1993 ). Hopf Algebras and Their Actions on Rings . CBMS Lecture on Math No.82 . AMS , Rhode Island .
  • Doi , Y. ( 1983 ). On the structure of relative Hopf modules . Comm. Algebra 11 : 243 – 255 .
  • Doi , Y. ( 1984 ). Cleft comodule algebras and hopf modules . Comm. Algebra 12 : 1155 – 1169 .
  • Doi , Y. ( 1985 ). Algebras with total integrals . Comm. Algebra 13 : 2137 – 2159 .
  • Doi , Y. , Takeuchi , M. ( 1986 ). Cleft comodule algebras for a bialgebra . Comm. Algebra 14 : 801 – 818 .
  • Communicated by V. A. Artamonov.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.