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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF   This review is available free of charge.
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, $79.00$

References [Enhancements On Off] (What's this?)

[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
DOI: https://doi.org/10.1090/S0273-0979-97-00719-2
Review copyright: © Copyright 1997 American Mathematical Society