Crossed coproducts and cleft. coextensions

Communications in Algebra

Volumn 24, Issue 4, 1996, Pages 1229-1243

  Dascalescu S ^a   Militant, G ^a   S ^a  

^a UNIVERSITY OF BUCHAREST   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039143818     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879608825635     Document Type: Article

References (22)

1. E. Abe, Hopf Algebras, Cambridge University Press. Cambridge, 1977.
2. R. Blattner, M. Cohen and S. Montgomery, Crossed Products and Inner Actions of Hopf Algebras, Trans, of the AMS, 298 (1986), 671-711.
3. R. Blattner and S. Montgomery, Crossed Products and Galois Extensions of Hopf Algebras, Pacific J. Math., 137 (1989), 37-54.
4. S. Caenepeel, S. Dǎscǎlescu, Ş. Raianu, Cosemisimple Hopf algebras coactiug on coalgebras, preprint.
5. S. Caenepeel, S. Dǎscǎlescu, Ş. Raianu, A Maschke-type theorem for crossed coproducts, to appear, in Ann. of Ovidius Univ. Constanţa.
6. M. Cohen, D. Fischman, Semisimple extensions and elements of trace 1, J. Algebra 149 (1992), 419-437.
7. S. Dǎscǎlescu, Ş. Raianu, Y. Zhang, Finite Hopf-Galois Coextensions, Crossed Coproducts and Duality, to appear in J. Algebra.
8. Y. Doi, Cohomologies over Conunutativi- Hopf Algebras. J. Math. Soc. Japan, 25 (1973), 680-706.
9. Y. Doi, Cleft comodule algebras and Hopf modules, Comm. Algebra, 12 (1984), 1155-1169.
10. Y. Doi, Unifying Hopf Modules, J. Algebra, 153 (1992), 373-385.
11. Y. Doi and M. Takeuchi, Cleft Comodule Algebras for a Bialgebra, Connu. Algebra, 14 (1986), 801-817.
12. I. Hofstetter, Extension of Hopf algebras and their cohomological description, J. Algebra, 164 (1994), 264-298.
13. S. Majid, More examples of bicrossproduct and double cross product of Hopf algebras, Israel J. Math., 72 (1990), 133-148.
14. S. Majid and Ya. S. Soibelman, Bicrosspioduct structure of the Quantum Weyl Group, J. Algebra, 163 (1994). 68-87.
15. A. Masuoka and Y. Doi, Generalization of cleft comoilule algebras, Comm. Algebra, 20 (1992), 3703-3721.
16. A. Masuoka, Quotient Theory of Hopf Algebras, in Advances in Hopf Algebras, edited by J. Bergen and S. Montgomery, Marcel Dekker Lecture Notes in Pure and Appl. Math., vol. 158 (1994), 107-134.
17. G. Militaru and D. Ştefan, Extending modules for Hopf Galois extensions, Comm. Algebra, 22 (1994), 5657-5678.
18. R.K. Molnar, Semi-Direct Products of Hopf Algebras, J. Algebra 47 (1977), 29-51.
19. A. Nakajima, Cosemisimple coalgebras and coseparable coalgebras over coalgebras, Math. J. Okayama Univ., 21 (1979), 125-140.
20. H.-J. Schneider, Principal Homogeneous Spaces, Isreal J. Math., 72 (1990), 167-231.
21. H.-J. Schneider, Some remarks on exact sequences of quantum groups, Comm. Algebra, 21 (1993), 3337-3357.
22. M.E. Sweedler, Hopf Algebras, Benjamin New York, 1969.