Book Review

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Book Information:

Authors: George M. Bergman and Adam O. Hausknecht

Title: Cogroups and co-rings in categories of associative rings

Additional book information: Mathematical Surveys and Monographs, vol. 45, American Mathematical Society, Providence, RI, 1996, x + 388 pp., ISBN 0-8218-0495-2, $79.00

**[1]**G. M. Bergman and W. E. Clark,*The automorphism class group of the category of rings*, J. Algebra**24**(1973), 80-99.MR**47**:210**[2]**P. J. Freyd,*Algebra-valued functors in general and tensor products in particular*, Colloq. Math. (Wroc{\l} aw)**14**(1966), 89-106.MR**33**:4116**[3]**M. Hazewinkel,*Formal Groups and Applications*, Series in Pure and Applied Math., vol. 78, Academic Press, 1978. MR**82a**:14020**[4]**N. Jacobson,*Lectures on Quadratic Jordan Algebras*, Tata Institute for Fundamental Research Lectures on Mathematics and Physics, vol. 45, Bombay, 1969.MR**48**:4062**[5]**D. M. Kan,*On monoids and their dual*, Bol. Soc. Mat. Mexicana (2)**3**(1958), 52-61.MR**22**:1900**[6]**M. Sweedler,*The predual theorem to the Jacobson-Bourbaki Theorem*, Trans. Amer. Math. Soc.**213**(1975), 391-406.MR**52**:8188**[7]**J. Tate and F. Oort,*Group schemes of prime order*, Ann. Sci. École Norm. Sup. (4)**3**(1970), 1-21. MR**42**:278

Review Information:

Reviewer: John Isbell

Affiliation: State University of New York at Buffalo

Email: mthisbel@ubvms.cc.buffalo.edu

Journal: Bull. Amer. Math. Soc.

**34**(1997), 317-321

MSC (1991): Primary 16B50, 16W30, 17B99, 18A40, 18D35; Secondary 08B99, 13B99, 14L15, 14L17, 16S10, 16N40, 16W10, 17A99, 20M50

DOI: https://doi.org/10.1090/S0273-0979-97-00719-2

Review copyright: © Copyright 1997 American Mathematical Society