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Original Articles

Crossed coproducts and cleft coextensions

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Pages 1229-1243 | Received 01 Nov 1994, Published online: 20 Oct 2011

References

  • Abe , E. and Hopf , Algebras . 1977 . Cambridge : Cambridge University Press .
  • Blattner , R. , Cohen , M. and Montgomery , S. 1986 . Crossed Products and Inner Actions of Hopf Algebras . Trans, of the AMS , 298 : 671 – 711 .
  • Blattner , R. and Montgomery , S. 1989 . Crossed Products and Galois Extensions of Hopf Algebras . Pacific J. Math , 137 : 37 – 54 .
  • Caenepeel , S. , Dascalescu , S. and Raianu , Ş . “ Cosemisimple Hopf algebras coacting on coalgebras ” . preprint .
  • Caenepeel , S. , Dascalescu , S. and Raianu , Ş . “ A Maschke-type theorem for crossed coproducts ” . Constanta : Ovidius Univ. . to appear in Ann
  • Cohen , M. and Fischman , D. 1992 . Semisimple extensions and elements of trace 1 . J. Algebra , 149 : 419 – 437 .
  • Dǎscǎlescu , S. , Raianu , Ş and Zhang , Y. “ Finite Hopf-Galois Coextensions, Crossed Coproducts and Duality ” . In to appear in J. Algebra
  • Doi , Y. 1973 . J. Math. Soc. Japan , 25 : 680 – 706 .
  • Doi , Y. 1984 . Cleft comodule algebras and Hopf modules . Comm. Algebra , 12 : 1155 – 1169 .
  • Doi , Y. 1992 . Unifying Hopf Modules . J. Algebra , 153 : 373 – 385 .
  • Doi , Y. and Takeuchi , M. 1986 . Cleft Comodule Algebras for a Bialgebra . Comm. Algebra , 14 : 801 – 817 .
  • Hofstetter , I. 1986 . Extension of Hopf algebras and their cohomological description . J. Algebra , 164 ( 1994 ) : 264 – 298 .
  • Majid , S. 1990 . More examples of bicrossproduct and double cross product of Hopf algebras . Israel J. Math. , 72 ( 1994 ) : 133 – 148 .
  • Majid , S. , Soibelman , Ya. S. , Masuoka , A. and Doi , Y. 1992 . Generalization of cleft comodule algebras . Comm. Algebra , 20 ( 1994 ) : 3703 – 3721 .
  • Masuoka , A. 1994 . “ Quotient Theory of Hopf Algebras, in Advances in Hopf Algebras ” . In Marcel Dekker Lecture Notes in Pure and Appl. Math Edited by: Montgomery , S. Vol. 158 , 107 – 134 .
  • Militaru , G. and Tefan , D. 1994 . Extending modules for Hopf Galois extensions . Comm. Algebra , 22 : 5657 – 5678 .
  • Molnar , R. K. 1977 . Semi-Direct Products of Hopf Algebras . J. Algebra , 47 : 29 – 51 .
  • Nakajima , A. 1979 . Cosemisimple coalgebras and coseparable coalgebras over coalgebras . Math. J. Okayama Univ , 21 : 125 – 140 .
  • Schneider , H. J. 1990 . Principal Homogeneous Spaces . Isreal J. Math. , 72 : 167 – 231 .
  • Schneider , H. J. 1993 . Some remarks on exact sequences of quantum groups . Comm. Algebra , 21 : 3337 – 3357 .
  • Sweedler , M. E. 1969 . “ Hopf Algebras ” . New York : Benjamin .

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