메뉴 건너뛰기




Volumn 198, Issue 1, 1997, Pages 164-183

Galois extensions for Co-Frobenius Hopf algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031541878     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1997.7146     Document Type: Article
Times cited : (23)

References (25)
  • 1
    • 0004089001 scopus 로고
    • Cambridge Univ. Press, Cambridge, UK
    • 1. E. Abe, "Hopf Algebras," Cambridge Univ. Press, Cambridge, UK, 1977.
    • (1977) Hopf Algebras
    • Abe, E.1
  • 2
    • 0001845034 scopus 로고
    • Morita equivalences for rings without identity
    • 2. P. N. Ánh and L. Márki, Morita equivalences for rings without identity, Tsukuba J. Math. 11 (1987), 1-16.
    • (1987) Tsukuba J. Math. , vol.11 , pp. 1-16
    • Ánh, P.N.1    Márki, L.2
  • 3
    • 0010956748 scopus 로고
    • A generalized Frobenius structure for coalgebras with applications to character theory
    • 3. H. P. Allen and D. Trushin, A generalized Frobenius structure for coalgebras with applications to character theory, J. Algebra 62 (1980), 430-449.
    • (1980) J. Algebra , vol.62 , pp. 430-449
    • Allen, H.P.1    Trushin, D.2
  • 5
    • 21344453469 scopus 로고    scopus 로고
    • Twisted Hopf comodule algebras
    • 5. M. Beattie, C.-Y. Chen, and J. J. Zhang, Twisted Hopf comodule algebras, Comm. Algebra 24 (1996), 1759-1775.
    • (1996) Comm. Algebra , vol.24 , pp. 1759-1775
    • Beattie, M.1    Chen, C.-Y.2    Zhang, J.J.3
  • 6
    • 21344498329 scopus 로고
    • Hopf algebra coactions
    • 6. H. Chen and C. Cai, Hopf algebra coactions, Comm. Algebra 22 (1994), 253-267.
    • (1994) Comm. Algebra , vol.22 , pp. 253-267
    • Chen, H.1    Cai, C.2
  • 7
    • 0003167469 scopus 로고
    • Coactions, smash products and Hopf modules
    • 7. C. Cai and H. Chen, Coactions, smash products and Hopf modules, J. Algebra 167 (1994), 85-99.
    • (1994) J. Algebra , vol.167 , pp. 85-99
    • Cai, C.1    Chen, H.2
  • 8
    • 0000294303 scopus 로고
    • Hopf algebra actions
    • 8. M. Cohen and D. Fischman, Hopf algebra actions, J. Algebra 100 (1986), 363-379.
    • (1986) J. Algebra , vol.100 , pp. 363-379
    • Cohen, M.1    Fischman, D.2
  • 9
    • 38249013349 scopus 로고
    • Semisimple extensions and elements of trace 1
    • 9. M. Cohen and D. Fischman, Semisimple extensions and elements of trace 1, J. Algebra 149 (1992), 419-437.
    • (1992) J. Algebra , vol.149 , pp. 419-437
    • Cohen, M.1    Fischman, D.2
  • 10
    • 38249018221 scopus 로고
    • Hopf Galois extensions, smash products and Morita equivalence
    • 10. M. Cohen, D. Fischman, and S. Montgomery, Hopf Galois extensions, smash products and Morita equivalence, J. Algebra 133 (1990), 351-372.
    • (1990) J. Algebra , vol.133 , pp. 351-372
    • Cohen, M.1    Fischman, D.2    Montgomery, S.3
  • 11
    • 0000822976 scopus 로고
    • Semiinvariants for Hopf algebra actions
    • 11. M. Cohen, Ş. Raianu, and S. Westreich, Semiinvariants for Hopf algebra actions, Israel J. Math. 88 (1994), 279-306.
    • (1994) Israel J. Math. , vol.88 , pp. 279-306
    • Cohen, M.1    Raianu, Ş.2    Westreich, S.3
  • 12
    • 0000849860 scopus 로고
    • Cleft comodule algebras and Hopf modules
    • 12. Y. Doi, Cleft comodule algebras and Hopf modules, Comm. Algebra 12 (1984), 1155-1169.
    • (1984) Comm. Algebra , vol.12 , pp. 1155-1169
    • Doi, Y.1
  • 13
    • 0011047340 scopus 로고
    • Generalized smash products and Morita contexts for arbitrary Hopf algebras
    • "Advances in Hopf Algebras" (J. Bergen and S. Montgomery, Eds.), Dekker, New York
    • 13. Y. Doi, Generalized smash products and Morita contexts for arbitrary Hopf algebras, in "Advances in Hopf Algebras" (J. Bergen and S. Montgomery, Eds.), Lecture Notes in Pure and Appl. Math., Vol. 158, pp. 39-54, Dekker, New York, 1994.
    • (1994) Lecture Notes in Pure and Appl. Math. , vol.158 , pp. 39-54
    • Doi, Y.1
  • 14
    • 0001283471 scopus 로고
    • Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action and Azumaya algebras
    • 14. Y. Doi and M. Takeuchi, 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
  • 16
    • 0031206579 scopus 로고    scopus 로고
    • Equivalence theorems and Hopf-Galois extensions
    • 16. C. Menini and M. Zuccoli, Equivalence theorems and Hopf-Galois extensions, J. Algebra 194 (1997), 245-274.
    • (1997) J. Algebra , vol.194 , pp. 245-274
    • Menini, C.1    Zuccoli, M.2
  • 17
    • 0003229461 scopus 로고
    • Hopf algebras and their actions on rings
    • CBMS, Providence, RI
    • 17. S. Montgomery, Hopf algebras and their actions on rings, in CBMS Regional Conf. Ser. in Math., Vol. 82, CBMS, Providence, RI, 1993.
    • (1993) CBMS Regional Conf. Ser. in Math. , vol.82
    • Montgomery, S.1
  • 18
    • 0000230174 scopus 로고
    • When Hopf algebras are Frobenius algebras
    • 18. 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
  • 19
    • 84968494608 scopus 로고
    • Group-graded rings and duality
    • 19. D. Quinn, Group-graded rings and duality, Trans. Amer. Math. Soc. 292 (1985), 155-167.
    • (1985) Trans. Amer. Math. Soc. , vol.292 , pp. 155-167
    • Quinn, D.1
  • 20
    • 0001478075 scopus 로고
    • The order of the antipode of a finite dimensional Hopf algebra is finite
    • 20. D. 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.1
  • 21
    • 0001299159 scopus 로고
    • Finiteness conditions for a Hopf algebra with non-zero integral
    • 21. D. Radford, Finiteness conditions for a Hopf algebra with non-zero integral, J. Algebra 46 (1977), 189-195.
    • (1977) J. Algebra , vol.46 , pp. 189-195
    • Radford, D.1
  • 22
    • 51249176014 scopus 로고
    • Principal homogeneous spaces for arbitrary Hopf algebras
    • 22. H.-J. Schneider, Principal homogeneous spaces for arbitrary Hopf algebras, Israel J. Math. 72 (1990), 167-195.
    • (1990) Israel J. Math. , vol.72 , pp. 167-195
    • Schneider, H.-J.1
  • 25
    • 0011047341 scopus 로고
    • Hopf Frobenius extensions of algebras
    • 25. Y. H. Zhang, Hopf Frobenius extensions of algebras, Comm. Algebra 20 (1992), 1907-1915.
    • (1992) Comm. Algebra , vol.20 , pp. 1907-1915
    • Zhang, Y.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.