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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

Author(s): S. Montgomery
Title: Hopf algebras and their actions on rings
Additional book information: CBMS Regional Conference Series in Mathematics, vol. 82, American Mathematical Society, Providence, RI, 1993, xiv\,+\,238 pp., US$32.00. ISBN 0-8218-0738-2


References:

[A]
E. Abe, Hopf algebras, Cambridge Univ. Press, Cambridge, 1980.
[DT]
Y. Doi and M. Takeuchi, Multiplication alteration by two-cocycles---The quantum version, Comm. Algebra.
[K]
I. Kaplansky, \emph{Bialgebras}, Univ. of Chicago, Chicago, IL, 1975.
[L]
G. Lusztig, Quantum groups at roots of \RM 1, Geom. Dedicata \textbf{35} (1990), 89--114.
[M]
S. Montgomery, ed., \emph{Group actions on rings}, Amer. Math. Soc., Providence, RI, 1985.
[P]
D. Passman, \emph{Group rings, crossed products and Galois theory}, Amer. Math. Soc., Providence, RI, 1986.
[S]
M. Sweedler, Hopf algebras, Benjamin, New York, 1969.


Additional Information:

Reviewer(s):
Mitsuhiro Takeuchi

Review Information:
Journal: Bull. Amer. Math. Soc. 32 (1995), 125-127.
DOI: 10.1090/S0273-0979-1995-00549-5
PII: S 0273-0979(1995)00549-5


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