메뉴 건너뛰기




Volumn 24, Issue 12, 1996, Pages 3797-3825

Hopf bigalois extensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21444450271     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879608825788     Document Type: Article
Times cited : (174)

References (23)
  • 2
    • 0003314955 scopus 로고
    • Hopf algebras and Galois theory
    • Springer, Berlin, Heidelberg, New York
    • CHASE, S., AND SWEEDLER, M. Hopf algebras and Galois theory, vol. 97 of Lecture Notes in Math. Springer, Berlin, Heidelberg, New York, 1969.
    • (1969) Lecture Notes in Math , vol.97
    • Chase, S.1    Sweedler, M.2
  • 3
    • 21144471308 scopus 로고
    • Braided bialgebras and quadratic bialgebras
    • DOI, Y. Braided bialgebras and quadratic bialgebras. Comm. in Alg. 21 (1993), 1731-1749.
    • (1993) Comm. in Alg. , vol.21 , pp. 1731-1749
    • Doi, Y.1
  • 4
    • 0001283471 scopus 로고
    • Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras
    • DOI, Y., AND TAKEUCHI, M. Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras. J. Algebra 121 (1989), 488-516.
    • (1989) J. Algebra , vol.121 , pp. 488-516
    • Doi, Y.1    Takeuchi, M.2
  • 5
    • 0000119372 scopus 로고
    • Galois algebras and Harrison cohomology
    • EARLY, T. E., AND KREIMER, H. F. Galois algebras and Harrison cohomology. J. Algebra 58 (1979), 136-147.
    • (1979) J. Algebra , vol.58 , pp. 136-147
    • Early, T.E.1    Kreimer, H.F.2
  • 6
    • 0040644506 scopus 로고    scopus 로고
    • On the transformation of the Hopf algebra in a Hopf Galois extension
    • GREITHER, C. On the transformation of the Hopf algebra in a Hopf Galois extension. Comm. in Alg. 24 (1996), 737-747.
    • (1996) Comm. in Alg. , vol.24 , pp. 737-747
    • Greither, C.1
  • 7
    • 38249036471 scopus 로고
    • Hopf Galois theory for separable field extensions
    • GREITHER, C., AND PAREIGIS, B. Hopf Galois theory for separable field extensions. J. Algebra 106 (1987), 239-258.
    • (1987) J. Algebra , vol.106 , pp. 239-258
    • Greither, C.1    Pareigis, B.2
  • 8
    • 25844506176 scopus 로고
    • Abelian extensions of commutative rings
    • HARRISON, D. K. Abelian extensions of commutative rings. Mem. AMS 52 (1965).
    • (1965) Mem. AMS , vol.52
    • Harrison, D.K.1
  • 9
    • 0001304423 scopus 로고
    • Galois theories and normal bases
    • KREIMER, H. F., AND COOK II, P. M. Galois theories and normal bases. J. Algebra 43 (1976), 115-121.
    • (1976) J. Algebra , vol.43 , pp. 115-121
    • Kreimer, H.F.1    Cook II, P.M.2
  • 10
    • 0000169903 scopus 로고
    • Hopf algebras and Galois extensions of an algebra
    • KREIMER, H. F., AND TAKEUCHI, M. Hopf algebras and Galois extensions of an algebra, Indiana Univ. Math. J. 30 (1981), 675-692.
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 675-692
    • Kreimer, H.F.1    Takeuchi, M.2
  • 11
    • 0003229461 scopus 로고
    • Hopf algebras and their actions on rings
    • AMS, Providence, Rhode Island
    • MONTGOMERY, S. Hopf algebras and their actions on rings, vol. 82 of CBMS Regional Conference Series in Mathematics. AMS, Providence, Rhode Island, 1993.
    • (1993) CBMS Regional Conference Series in Mathematics , vol.82
    • Montgomery, S.1
  • 12
    • 21844505066 scopus 로고    scopus 로고
    • Hopf bimodules over Hopf-Galois-extensions, Miyashita-Ulbrich actions, and the monoidal center construction
    • SCHAUENBURG, P. Hopf bimodules over Hopf-Galois-extensions, Miyashita-Ulbrich actions, and the monoidal center construction. Comm. in Alg. 24 (1996), 143-163.
    • (1996) Comm. in Alg. , vol.24 , pp. 143-163
    • Schauenburg, P.1
  • 13
    • 85033063130 scopus 로고    scopus 로고
    • A bialgebra that admits a Hopf-Galois extension is a Hopf algebra
    • to appear
    • SCHAUENBURG, P. A bialgebra that admits a Hopf-Galois extension is a Hopf algebra. Proc. Amer. Math. Soc. (to appear).
    • Proc. Amer. Math. Soc.
    • Schauenburg, P.1
  • 14
    • 51249176014 scopus 로고
    • Principal homogeneous spaces for arbitrary Hopf algebras
    • SCHNEIDER, H.-J. Principal homogeneous spaces for arbitrary Hopf algebras. Israel J. of Math. 72 (1990), 167-195.
    • (1990) Israel J. of Math. , vol.72 , pp. 167-195
    • Schneider, H.-J.1
  • 15
    • 51249172683 scopus 로고
    • Representation theory of Hopf-Galois extensions
    • SCHNEIDER, H.-J. Representation theory of Hopf-Galois extensions. Israel J. of Math. 72 (1990), 196-231.
    • (1990) Israel J. of Math. , vol.72 , pp. 196-231
    • Schneider, H.-J.1
  • 16
    • 84961565838 scopus 로고
    • The predual theorem to the Jacobson-Bourbaki theorem
    • SWEEDLER, M. The predual theorem to the Jacobson-Bourbaki theorem. Trans. Amer. Math. Soc. 213 (1975), 391-406.
    • (1975) Trans. Amer. Math. Soc. , vol.213 , pp. 391-406
    • Sweedler, M.1
  • 17
  • 18
    • 2442523231 scopus 로고
    • Galois extensions as functors of comodules
    • ULBRICH, K.-H. Galois extensions as functors of comodules. manuscript math. 59 (1987), 391-397.
    • (1987) Manuscript Math. , vol.59 , pp. 391-397
    • Ulbrich, K.-H.1
  • 19
    • 0002609592 scopus 로고
    • Fiber functors of finite dimensional comodules
    • ULBRICH, K.-H. Fiber functors of finite dimensional comodules. manuscript math. 65 (1989), 39-46.
    • (1989) Manuscript Math. , vol.65 , pp. 39-46
    • Ulbrich, K.-H.1
  • 20
    • 51249170732 scopus 로고
    • On Hopf algebras and rigid monoidal categories
    • ULBRICH, K.-H. On Hopf algebras and rigid monoidal categories. Israel J. Math. 72 (1990), 252-256.
    • (1990) Israel J. Math. , vol.72 , pp. 252-256
    • Ulbrich, K.-H.1
  • 22
    • 0039459170 scopus 로고
    • Galois-type correspondences for Hopf Galois extensions
    • VAN OYSTAEYEN, F., AND ZHANG, Y. Galois-type correspondences for Hopf Galois extensions. K-Theory 8 (1994), 257-269.
    • (1994) K-Theory , vol.8 , pp. 257-269
    • Van Oystaeyen, F.1    Zhang, Y.2
  • 23
    • 84974224281 scopus 로고
    • Quantum groups and representations of monoidal categories
    • YETTER, D. N. Quantum groups and representations of monoidal categories. Math. Proc. Camb. Phil. Soc. 108 (1990), 261-290.
    • (1990) Math. Proc. Camb. Phil. Soc. , vol.108 , pp. 261-290
    • Yetter, D.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.