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Original Articles

Projective Modules Over Frobenius Algebras and Hopf Comodule Algebras

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Pages 4733-4750 | Received 30 Aug 2010, Published online: 14 Dec 2011

REFERENCES

  • Bass , H. ( 1968 ). Algebraic K-Theory . New York–Amsterdam : W. A. Benjamin, Inc .
  • Bass , H. ( 1976 ). Euler characteristics and characters of discrete groups . Invent. Math. 35 : 155 – 196 .
  • Brown , K. S. ( 1982 ). Cohomology of groups . Graduate Texts in Mathematics . Vol. 87 , New York : Springer-Verlag .
  • Curtis , C. W. , Reiner , I. ( 1962 ). Representation theory of finite groups and associative algebras. Pure and Applied Mathematics. Vol. XI, New York–London: Interscience Publishers, a division of John Wiley & Sons .
  • Hattori , A. ( 1965 ). Rank element of a projective module . Nagoya Math. J. 25 : 113 – 120 .
  • Higman , D. G. ( 1955 ). On orders in separable algebras . Canad. J. Math. 7 : 509 – 515 .
  • Kreimer , H. F. , Takeuchi , M. ( 1981 ). Hopf algebras and Galois extensions of an algebra . Indiana Univ. Math. J. 30 : 675 – 692 .
  • Larson , R. G. , Sweedler , M. E. ( 1969 ). An associative orthogonal bilinear form for Hopf algebras . Amer. J. Math. 91 : 75 – 94 .
  • Lorenz , M. ( 2011 ). Some applications of Frobenius algebras to Hopf algebras . In: Groups, Algebras and Applications, Contemporary Mathematics . Vol. 537 . Providence , RI : Amer . Math. Soc., pp. 269–289 .
  • Lorenz , M. ( 1997 ). Representations of finite-dimensional Hopf algebras . J. Algebra 188 ( 2 ): 476 – 505 .
  • Montgomery , S. ( 1993 ). Hopf algebras and their actions on rings, CBMS Regional Conference Series in Mathematics, Vol. 82, Washington, DC: Published for the Conference Board of the Mathematical Sciences .
  • Pareigis , B. ( 1971 ). When Hopf algebras are Frobenius algebras . J. Algebra 18 : 588 – 596 .
  • Swan , R. G. , Graham Evans , E. ( 1970 ). K-theory of finite groups and orders. Berlin: Lecture Notes in Mathematics. Vol. 149, Springer-Verlag .
  • Tokoly , L. F. ( 1999 ). Frobenius reciprocity and Grothendieck groups of Hopf Galois extensions. Ph.D. thesis, Temple University .
  • Weibel , C. A. An introduction to algebraic K-theory, beta version of complete book (November 4, 2011). Available at http://www.math.rutgers.edu/ ∼weibel/Kbook.html .
  • Communicated by S. Montgomery. Dedicated to Mia Cohen on the occasion of her retirement.

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