Book Review

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MathSciNet review: 1567710

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Book Information:

Author: A. H. Schofield

Title: Representations of rings over skew fields

Additional book information: London Mathematical Society Lecture Note Series, vol. 92, Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne, Sydney, 1985, xii+223 pp., $27.95. ISBN 0-521-27853-8.

*Modules over coproducts of rings*, Trans. Amer. Math. Soc.

**200**(1974), 1–32. MR

**357502**, DOI 10.1090/S0002-9947-1974-0357502-5

*Free rings and their relations*, 2nd ed., London Mathematical Society Monographs, vol. 19, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London, 1985. MR

**800091**

*The embedding of firs in skew fields*, Proc. London Math. Soc. (3)

**23**(1971), 193–213. MR

**297814**, DOI 10.1112/plms/s3-23.2.193

*Hereditary Artinian rings of finite representation type*, Representation theory, II (Proc. Second Internat. Conf., Carleton Univ., Ottawa, Ont., 1979) Lecture Notes in Math., vol. 832, Springer, Berlin, 1980, pp. 232–241. MR

**607156**

*Construction of universal matrix localizations*, Advances in Noncommutative Ring Theory, Lecture Notes in Math., vol. 951, Springer-Verlag, Berlin and New York, 1982.

*Determining homomorphisms to skew fields*, J. Algebra

**64**(1980), no. 2, 399–413. MR

**579068**, DOI 10.1016/0021-8693(80)90153-2

*Rings of quotients*, Die Grundlehren der mathematischen Wissenschaften, Band 217, Springer-Verlag, New York-Heidelberg, 1975. An introduction to methods of ring theory. MR

**0389953**

Review Information:

Reviewer: Peter Malcolmson

Journal: Bull. Amer. Math. Soc.

**19**(1988), 504-508

DOI: https://doi.org/10.1090/S0273-0979-1988-15719-9