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Volumn 145, Issue 2, 1999, Pages 239-290

Separable functors for the category of Doi-Hopf modules, applications

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EID: 0033543006     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1998.1817     Document Type: Article
Times cited : (41)

References (38)
  • 1
    • 0004089001 scopus 로고
    • Cambridge: Cambridge Univ. Press
    • Abe E. Hopf Algebras. 1977;Cambridge Univ. Press, Cambridge.
    • (1977) Hopf Algebras
    • Abe, E.1
  • 3
    • 21944437785 scopus 로고    scopus 로고
    • Doi-Hopf modules, Yetter-Drinfel'd modules and Frobenius type properties
    • Caenepeel S., Militaru G., Zhu Schenglin. Doi-Hopf modules, Yetter-Drinfel'd modules and Frobenius type properties. Trans. Amer. Math. Soc. 349:1997;4311-4342.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 4311-4342
    • Caenepeel, S.1    Militaru, G.2    Zhu Schenglin3
  • 4
    • 0000697271 scopus 로고    scopus 로고
    • A Maschke type theorem for Doi-Hopf modules and applications
    • Caenepeel S., Militaru G., Zhu Shenglin. A Maschke type theorem for Doi-Hopf modules and applications. J. Algebra. 187:1997;388-412.
    • (1997) J. Algebra , vol.187 , pp. 388-412
    • Caenepeel, S.1    Militaru, G.2    Zhu Shenglin3
  • 6
    • 0002316692 scopus 로고
    • Induction functors for the Doi-Koppinen unified Hopf modules
    • Dordrecht: Kluwer Academic. p. 73-94
    • Caenepeel S., Raianu S. Induction functors for the Doi-Koppinen unified Hopf modules. Abelian Groups and Modules. 1995;Kluwer Academic, Dordrecht. p. 73-94.
    • (1995) Abelian Groups and Modules
    • Caenepeel, S.1    Raianu, S.2
  • 7
    • 0000294303 scopus 로고
    • Hopf Algebra Actions
    • Cohen M., Fischman D. Hopf algebra actions. J. Algebra. 100:1986;363-379.
    • (1986) J. Algebra , vol.100 , pp. 363-379
    • Cohen, M.1    Fischman, D.2
  • 8
    • 38249013349 scopus 로고
    • Semisimple extensions and elements of trace, 1
    • Cohen M., Fischman D. 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
    • 0000356247 scopus 로고
    • Separable Algebras over Commutative Rings
    • Berlin: Springer-Verlag
    • DeMeyer F., Ingraham E. Separable Algebras over Commutative Rings. Lecture Notes in Mathematics. 181:1971;Springer-Verlag, Berlin.
    • (1971) Lecture Notes in Mathematics , vol.181
    • DeMeyer, F.1    Ingraham, E.2
  • 11
    • 0000661786 scopus 로고
    • Algebras with total integrals
    • Doi Y. Algebras with total integrals. Comm. Algebra. 13:1986;2137-2159.
    • (1986) Comm. Algebra , vol.13 , pp. 2137-2159
    • Doi, Y.1
  • 12
    • 51249175583 scopus 로고
    • Hopf extensions of algebras and Maschke type theorems
    • Doi Y. Hopf extensions of algebras and Maschke type theorems. Israel J. Math. 72:1990;99-108.
    • (1990) Israel J. Math. , vol.72 , pp. 99-108
    • Doi, Y.1
  • 13
    • 0001223929 scopus 로고
    • Unifying Hopf modules
    • Doi Y. Unifying Hopf modules. J. Algebra. 153:1992;373-385.
    • (1992) J. Algebra , vol.153 , pp. 373-385
    • Doi, Y.1
  • 14
    • 0001283471 scopus 로고
    • Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action and Azumaya algebras
    • Doi Y., 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
  • 16
    • 84972514174 scopus 로고
    • On semisimple and separable extensions over noncommutative rings
    • Hirata K., Sugano K. On semisimple and separable extensions over noncommutative rings. J. Math. Soc. Japan. 18:1966;360-373.
    • (1966) J. Math. Soc. Japan , vol.18 , pp. 360-373
    • Hirata, K.1    Sugano, K.2
  • 17
    • 0002961802 scopus 로고
    • Variations on the smash product with applications to group-graded rings
    • Koppinen M. Variations on the smash product with applications to group-graded rings. J. Pure Appl. Algebra. 104:1995;61-80.
    • (1995) J. Pure Appl. Algebra , vol.104 , pp. 61-80
    • Koppinen, M.1
  • 18
    • 0000311150 scopus 로고
    • Coseparable coalgebras
    • Larson R. G. Coseparable coalgebras. J. Pure Appl. Algebra. 3:1973;261-267.
    • (1973) J. Pure Appl. Algebra , vol.3 , pp. 261-267
    • Larson, R.G.1
  • 19
    • 45449125795 scopus 로고
    • Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
    • Larson R. G., Radford D. E. Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple. J. Algebra. 117:1988;267-289.
    • (1988) J. Algebra , vol.117 , pp. 267-289
    • Larson, R.G.1    Radford, D.E.2
  • 20
    • 0000298876 scopus 로고
    • The Brauer group of dimodule algebras
    • Long F. W. The Brauer group of dimodule algebras. J. Algebra. 31:1974;559-601.
    • (1974) J. Algebra , vol.31 , pp. 559-601
    • Long, F.W.1
  • 21
    • 0002829606 scopus 로고
    • An associative orthogonal bilinear form for Hopf algebras
    • Larson R. G., Sweedler M. E. An associative orthogonal bilinear form for Hopf algebras. Amer. J. Math. 91:1969;75-93.
    • (1969) Amer. J. Math. , vol.91 , pp. 75-93
    • Larson, R.G.1    Sweedler, M.E.2
  • 22
    • 0002036064 scopus 로고
    • Physics for algebrists: Non-commutative and non-cocommutative Hopf algebras by a bycrossproduct construction
    • Majid S. Physics for algebrists: Non-commutative and non-cocommutative Hopf algebras by a bycrossproduct construction. J. Algebra. 130:1990;17-64.
    • (1990) J. Algebra , vol.130 , pp. 17-64
    • Majid, S.1
  • 23
    • 0000315155 scopus 로고    scopus 로고
    • Functors for relative Hopf modules. Applications
    • Militaru G. Functors for relative Hopf modules. Applications. Rev. Roumaine Math. Pures Appl. 41:1996;451-512.
    • (1996) Rev. Roumaine Math. Pures Appl. , vol.41 , pp. 451-512
    • Militaru, G.1
  • 24
    • 0001074856 scopus 로고    scopus 로고
    • The Long dimodule category and nonlinear equations
    • Militaru G. The Long dimodule category and nonlinear equations. Algebras and Representation Theory. 2:1999;1-24.
    • (1999) Algebras and Representation Theory , vol.2 , pp. 1-24
    • Militaru, G.1
  • 28
    • 84973001394 scopus 로고
    • Separable functors revisited
    • Rafael M. D. Separable functors revisited. Comm. Algebra. 18:1990;1445-1459.
    • (1990) Comm. Algebra , vol.18 , pp. 1445-1459
    • Rafael, M.D.1
  • 29
    • 0000602803 scopus 로고
    • Categorical methods in graded ring theory
    • del Río A. Categorical methods in graded ring theory. Public. Math. 72:1990;489-531.
    • (1990) Public. Math. , vol.72 , pp. 489-531
    • Del Río, A.1
  • 30
    • 43949166060 scopus 로고
    • Minimal quasi-triangular Hopf algebras
    • Radford D. Minimal quasi-triangular Hopf algebras. J. Algebra. 157:1993;285-315.
    • (1993) J. Algebra , vol.157 , pp. 285-315
    • Radford, D.1
  • 31
    • 0001478075 scopus 로고
    • The order of the antipode in a finite-dimensional Hopf algebra is finite
    • Radford D. The order of the antipode in 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
  • 32
    • 0000230174 scopus 로고
    • When Hopf algebras are Frobenius algebras
    • Pareigis B. When Hopf algebras are Frobenius algebras. J. Algebra. 18:1971;588-596.
    • (1971) J. Algebra , vol.18 , pp. 588-596
    • Pareigis, B.1
  • 33
    • 51249176014 scopus 로고
    • Principal homogeneous spaces for arbitrary Hopf algebras
    • Schneider H.-J. 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
  • 34
    • 85034171917 scopus 로고    scopus 로고
    • The Wedderburn-Malcev theorem for comodule algebras
    • to appear.
    • D. Ştefan, and, F. Van Oystaeyen, The Wedderburn-Malcev theorem for comodule algebras, Comm. Algebra, to appear.
    • Comm. Algebra
    • Ştefan, D.1    Van Oystaeyen, F.2
  • 36
    • 0000928136 scopus 로고
    • Finite-dimensional representation of the quantum Lorenz group
    • Takeuchi M. Finite-dimensional representation of the quantum Lorenz group. Comm. Math. Phys. 144:1992;557-580.
    • (1992) Comm. Math. Phys. , vol.144 , pp. 557-580
    • Takeuchi, M.1
  • 37
    • 0008990209 scopus 로고    scopus 로고
    • Induction and coinduction for Hopf extension
    • Van Oystaeyen F., Xu Y., Zhang Y. Induction and coinduction for Hopf extension. Sci. China Ser. B. 39:1996;246-263.
    • (1996) Sci. China Ser. B , vol.39 , pp. 246-263
    • Van Oystaeyen, F.1    Xu, Y.2    Zhang, Y.3


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