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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:

Bibliography

[A]
E. Abe, Hopf algebras, Cambridge Univ. Press, Cambridge, 1980. MR 594432 (83a:16010)

[DT]
Y. Doi and M. Takeuchi, Multiplication alteration by two-cocycles--The quantum version, Comm. Algebra (to appear). MR 1298746 (95j:16043)

[K]
I. Kaplansky, Bialgebras, Lecture Notes in Math., Univ. of Chicago, Chicago, IL, 1975. MR 0435126 (55:8087)

[L]
G. Lusztig, Quantum groups at roots of 1, Geom. Dedicata 35 (1990), 89-114. MR 1066560 (91j:17018)

[M]
S. Montgomery, ed., Group actions on rings, Contemp. Math., vol. 43, Amer. Math. Soc., Providence, RI, 1985. MR 810652 (87h:16048)

[P]
D. Passman, Group rings, crossed products and Galois theory, CBMS Regional Conf. Ser. in Math., vol. 64, Amer. Math. Soc., Providence, RI, 1986. MR 840467 (87e:16033)

[S]
M. Sweedler, Hopf algebras, Benjamin, New York, 1969. MR 0252485 (40:5705)


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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