메뉴 건너뛰기




Volumn 178, Issue 2, 1995, Pages 400-413

Finite hopf-galois coextensions, crossed coproducts, and duality

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001028979     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1006/jabr.1995.1356     Document Type: Article
Times cited : (28)

References (24)
  • 1
    • 84883435991 scopus 로고
    • Crossed products and inner actions of Hopf algebras
    • R. Blattner, M. Cohen, and S. Montgomery, Crossed products and inner actions of Hopf algebras, Trans. Amer. Math. Soc. 298, No. 2 (1986), 671-711.
    • (1986) Trans. Amer. Math. Soc , vol.298 , Issue.2 , pp. 671-711
    • Blattner, R.1    Cohen, M.2    Montgomery, S.3
  • 2
    • 17444420949 scopus 로고
    • A duality theorem for Hopf module algebras
    • R. Blattner and S. Montgomery, A duality theorem for Hopf module algebras, J. Algebra 95 (1985), 153-172.
    • (1985) J. Algebra , vol.95 , pp. 153-172
    • Blattner, R.1    Montgomery, S.2
  • 3
    • 84972549409 scopus 로고
    • Cross products and Galois extensions of Hopf algebras
    • R. Blattner and S. Montgomery, Cross products and Galois extensions of Hopf algebras, Pacific J. Math. 137, No. 1 (1989), 37-54.
    • (1989) Pacific J. Math , vol.137 , Issue.1 , pp. 37-54
    • Blattner, R.1    Montgomery, S.2
  • 4
    • 38249018221 scopus 로고
    • Hopf Galois extensions, smash products, and Morita equivalences
    • M. Cohen, D. Fischman, and S. Montgomery, Hopf Galois extensions, smash products, and Morita equivalences, J. Algebra 133 (1992), 251-372.
    • (1992) J. Algebra , vol.133 , pp. 251-372
    • Cohen, M.1    Fischman, D.2    Montgomery, S.3
  • 6
    • 0040877004 scopus 로고
    • Cohomologies over Commutative Hopf algebras
    • Y. Doi, Cohomologies over Commutative Hopf algebras, J. Math. Soc. Japan 25, No. 4 (1973), 680-706.
    • (1973) J. Math. Soc. Japan , vol.25 , Issue.4 , pp. 680-706
    • Doi, Y.1
  • 7
    • 0001223929 scopus 로고
    • Unifying Hopf modules
    • Y. Doi, Unifying Hopf modules, J. Algebra 153 (1994), 373-385.
    • (1994) J. Algebra , vol.153 , pp. 373-385
    • Doi, Y.1
  • 8
    • 0008012738 scopus 로고
    • Cleft comodule algebras for a bialgebra
    • Y. Doi and M. Takeuchi, Cleft comodule algebras for a bialgebra, Comm. Algebra 14 (1986), 801-817.
    • (1986) Comm. Algebra , vol.14 , pp. 801-817
    • Doi, Y.1    Takeuchi, M.2
  • 9
    • 0000169903 scopus 로고
    • Hopf algebras and Galois extensions
    • H. K. Kreimer and M. Takeuchi, Hopf algebras and Galois extensions, Indiana Univ. Math. J. 30 (1981), 675-692.
    • (1981) Indiana Univ. Math. J , vol.30 , pp. 675-692
    • Kreimer, H.K.1    Takeuchi, M.2
  • 10
    • 0042966655 scopus 로고
    • Lin, Crossed coproducts of Hopf algebras
    • B. I-p. Lin, Crossed coproducts of Hopf algebras, Comm. Algebra 10, No. 1 (1982), 1-17.
    • (1982) Comm. Algebra , vol.10 , Issue.1 , pp. 1-17
    • I-P, B.1
  • 11
    • 0001810863 scopus 로고
    • Semi-direct products of Hopf algebras
    • R. K. Molnar, Semi-direct products of Hopf algebras, J. Algebra 47 (1977), 29-51.
    • (1977) J. Algebra , vol.47 , pp. 29-51
    • Molnar, R.K.1
  • 12
    • 0000230174 scopus 로고
    • When Hopf algebras are Frobenius algebras
    • B. Pareigis, When Hopf algebras are Frobenius algebras, J. Algebra 18 (1971), 588-596.
    • (1971) J. Algebra , vol.18 , pp. 588-596
    • Pareigis, B.1
  • 13
    • 0001478075 scopus 로고
    • The order of the antipode of a finite dimensional Hopf algebra is finite
    • D. E. Radford, The order of the antipode of a finite dimensional Hopf algebra is finite, Amer. J. Math. 98 (1976), 333-355.
    • (1976) Amer. J. Math , vol.98 , pp. 333-355
    • Radford, D.E.1
  • 14
    • 51249176014 scopus 로고
    • Principal homogeneous spaces
    • H.-J. Schneider, Principal homogeneous spaces, Israel J. Math. 72 (1990), 167-231.
    • (1990) Israel J. Math , vol.72 , pp. 167-231
    • Schneider, H.-J.1
  • 16
    • 84968497607 scopus 로고
    • Cohomology of algebras over Hopf algebras
    • M. E. Sweedler, Cohomology of algebras over Hopf algebras, Trans. Amer. Math. Soc. 133 (1968), 205 -239.
    • (1968) Trans. Amer. Math. Soc , vol.133
    • Sweedler, M.E.1
  • 17
    • 0001134967 scopus 로고
    • Morita theorems for categories of comodules
    • M. Takeuchi, Morita theorems for categories of comodules, J. Fac. Sci. Univ. Tokyo 24 (1977), 629-644.
    • (1977) J. Fac. Sci. Univ. Tokyo , vol.24 , pp. 629-644
    • Takeuchi, M.1
  • 18
    • 0000065850 scopus 로고
    • A duality theorem for Hopf algebras
    • NATO ASI Series C, Reidel, Dordrecht
    • M. Van den Bergh, A duality theorem for Hopf algebras, in "Methods in Ring Theory, " NATO ASI Series C, Vol. 129, Reidel, Dordrecht, 1984.
    • (1984) Methods in Ring Theory , vol.129
    • Van Den Bergh, M.1
  • 20
    • 0011047341 scopus 로고
    • Hopf Frobenius extensions of algebras
    • Y. H. Zhang, Hopf Frobenius extensions of algebras, Comm. Algebra 20 (1992), 1907-1915.
    • (1992) Comm. Algebra , vol.20
    • Zhang, Y.H.1
  • 21
    • 21144474958 scopus 로고
    • Some remarks on exact sequences of quantum groups
    • H.-J. Schneider, Some remarks on exact sequences of quantum groups, Comm. Algebra 21 (1993), 3337-3357.
    • (1993) Comm. Algebra , vol.21 , pp. 3337-3357
    • Schneider, H.-J.1
  • 22
    • 51249179470 scopus 로고
    • More examples of bicrossproduct and double cross product of Hopf algebras
    • S. Majid, More examples of bicrossproduct and double cross product of Hopf algebras, Israel, Math., 72 (1990), 133-148.
    • (1990) Israel, Math , vol.72 , pp. 133-148
    • Majid, S.1
  • 23
    • 0007090239 scopus 로고
    • Bicrossproduct structure of the Quantum Weyl Group
    • S. Majid and Ya. S. Soibelman, Bicrossproduct structure of the Quantum Weyl Group, J. Algebra, 163 (1994), 68-87.
    • (1994) J. Algebra , vol.163 , pp. 68-87
    • Majid, S.1    Soibelman, Y.A.2
  • 24
    • 85170169901 scopus 로고
    • Quotient theory of Hopf algebras
    • (J. Bergen and S. Montgomery, Eds.), Marcel Dekker
    • A. Masuoka, Quotient theory of Hopf algebras, in "Advances in Hopf Algebras, " (J. Bergen and S. Montgomery, Eds.), pp. 107-134, Marcel Dekker, 1994.
    • (1994) Advances in Hopf Algebras , pp. 107-134
    • Masuoka, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.