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Volumn 349, Issue 11, 1997, Pages 4311-4342

Doi-hopf modules, yetter-drinfel'd modules and frobenius type properties

Author keywords

Doi hopf modules; Frobenius pxtensions; Hopf algebras; Yetter drinfel'd modules

Indexed keywords


EID: 21944437785     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-97-02004-7     Document Type: Article
Times cited : (40)

References (24)
  • 3
    • 0002316692 scopus 로고
    • Induction functors for the Doi-Koppinen unified Hopf modules
    • Kluwer Academic Publishers, Dordrecht, MR 97a:16071
    • S. Caenepeel, Ç. Raianu, Induction functors for the Doi-Koppinen unified Hopf modules, in Abelian groups and Modules, Kluwer Academic Publishers, Dordrecht, 1995, pp. 73-94. MR 97a:16071
    • (1995) Abelian Groups and Modules , pp. 73-94
    • Caenepeel Ç Raianu, S.1
  • 5
    • 0002858328 scopus 로고
    • Homological coalgebra
    • MR 82g:16014
    • Y. Doi, Homological coalgebra, J. Math. Soc. Japan 33 (1981), 31-50. MR 82g:16014
    • (1981) J. Math. Soc. Japan , vol.33 , pp. 31-50
    • Doi, Y.1
  • 6
    • 0001223929 scopus 로고
    • Unifying Hopf modules
    • MR 94c:16048
    • Y. Doi, Unifying Hopf modules, J. Algebra 153 (1992), 373-385. MR 94c:16048
    • (1992) J. Algebra , vol.153 , pp. 373-385
    • Doi, Y.1
  • 7
    • 0000481618 scopus 로고
    • Quantum groups
    • Berkeley, MR 89f:17017
    • V. G. Drinfel'd, Quantum groups, Proc. Int. Cong. Math., Berkeley, 1 (1986), 789-820. MR 89f:17017
    • (1986) Proc. Int. Cong. Math. , vol.1 , pp. 789-820
    • Drinfel'D, V.G.1
  • 9
    • 38149148305 scopus 로고
    • On Frobenius extensions defined by Hopf algebras
    • MR 95e:16034
    • R. Farnsteiner, On Frobenius extensions defined by Hopf algebras, J. Algebra 166 (1994), 130-141. MR 95e:16034
    • (1994) J. Algebra , vol.166 , pp. 130-141
    • Farnsteiner, R.1
  • 11
    • 0009019544 scopus 로고
    • Théorie de la descente et algèbres d'Azumaya
    • Springer Verlag, Berlin, MR 54:5209
    • M.A. Knus, M. Ojanguren, "Théorie de la descente et algèbres d'Azumaya", Lecture Notes in Math. 389, Springer Verlag, Berlin, 1974. MR 54:5209
    • (1974) Lecture Notes in Math. , vol.389
    • Knus, M.A.1    Ojanguren, M.2
  • 12
    • 0002036064 scopus 로고
    • Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bycrossproduct construction
    • MR 91j:16050
    • S. Majid, Physics for algebraists: non-commutative and non-cocommutative Hopf algebras by a bycrossproduct construction, J. Algebra 130 (1990), 17-64. MR 91j:16050
    • (1990) J. Algebra , vol.130 , pp. 17-64
    • Majid, S.1
  • 14
  • 15
    • 0003229461 scopus 로고
    • Hopf algebras and their actions on rings
    • American Mathematical Society, Providence, MR 941:16019
    • S. Montgomery, Hopf algebras and their actions on rings, CBMS Regional Conf. Ser. Math., no. 82, American Mathematical Society, Providence, 1993. MR 941:16019
    • (1993) CBMS Regional Conf. Ser. Math., No. 82
    • Montgomery, S.1
  • 16
    • 51249173827 scopus 로고
    • §. Raianu, F. \-an Oystaeyen, Modules graded by G-sets
    • MR 91h:16071
    • C. Nästäsescu, §. Raianu, F. \-an Oystaeyen, Modules graded by G-sets, Math. Z. 203 (1990), 605-627. MR 91h:16071
    • (1990) Math. Z. , vol.203 , pp. 605-627
    • Nästäsescu, C.1
  • 17
    • 0000230174 scopus 로고
    • When Hopf algebras are Frobenius algebras
    • MR 43:6242
    • B. Pareigis, When Hopf algebras are Frobenius algebras, J. Algebra 18 (1971), 588-596. MR 43:6242
    • (1971) J. Algebra , vol.18 , pp. 588-596
    • Pareigis, B.1
  • 18
    • 43949166060 scopus 로고
    • Minimal quasi-triangular Hopf algebras
    • MR 94c: 16052
    • D. Radford, Minimal quasi-triangular Hopf algebras, J. Algebra 157 (1993), 285-315. MR 94c: 16052
    • (1993) J. Algebra , vol.157 , pp. 285-315
    • Radford, D.1
  • 19
    • 0002112187 scopus 로고
    • Yetter-Drinfel'd categories associated to an arbitrary bialgebra
    • MR 94f:16060
    • D. Radford, J. Towber, Yetter-Drinfel'd categories associated to an arbitrary bialgebra, J. Pure and Appl. Algebra 87 (1993), 259-279. MR 94f:16060
    • (1993) J. Pure and Appl. Algebra , vol.87 , pp. 259-279
    • Radford J Towber, D.1
  • 20
    • 0003402324 scopus 로고
    • Benjamin, New York, MR 40:5705
    • M. E. Sweedler, Hopf algebras, Benjamin, New York, 1969. MR 40:5705
    • (1969) Hopf algebras
    • Sweedler, M.E.1
  • 21
    • 0000172815 scopus 로고
    • A correspondence between Hopf ideals and and sub-Hopf algebras
    • MR 48:328
    • M. Takeuchi, A correspondence between Hopf ideals and and sub-Hopf algebras, Manuscripta Math. 7 (1972), 251-270. MR 48:328
    • (1972) Manuscripta Math. , vol.7 , pp. 251-270
    • Takeuchi, M.1
  • 22
    • 0000122760 scopus 로고
    • Smash products and comodules of linear maps
    • MR 91m:16030
    • K. H. Ulbrich, Smash products and comodules of linear maps, Tsukuba J. Math. 2 (1990), 371-378. MR 91m:16030
    • (1990) Tsukuba J. Math. , vol.2 , pp. 371-378
    • Ulbrich, K.H.1
  • 23
    • 84974224281 scopus 로고
    • Quantum groups and representations of monoidal categories
    • MR 91k:16028
    • D.N. Yetter, Quantum groups and representations of monoidal categories, Math. Proc. Camb. Phil. Soc. 108 (1990), 261-290. MR 91k:16028
    • (1990) Math. Proc. Camb. Phil. Soc. , vol.108 , pp. 261-290
    • Yetter, D.N.1
  • 24
    • 33646889241 scopus 로고    scopus 로고
    • Functors: Applications I, II and III
    • to appear.
    • B. Zhou, Hopf-Doi data, functors: applications I, II and III, Comm. Algebra, to appear.
    • Comm. Algebra
    • Zhou, B.1    Data, H.-D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.