Bulletin of the American Mathematical Society

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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.

George M. Bergman, Modules over coproducts of rings, Trans. Amer. Math. Soc. 200 (1974), 1–32. MR 357502, DOI 10.1090/S0002-9947-1974-0357502-5

P. M. Cohn, Free rings and their relations, 2nd ed., London Mathematical Society Monographs, vol. 19, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London, 1985. MR 800091

P. M. Cohn, 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

P. Dowbor, C. M. Ringel, and D. Simson, 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

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

Peter Malcolmson, Determining homomorphisms to skew fields, J. Algebra 64 (1980), no. 2, 399–413. MR 579068, DOI 10.1016/0021-8693(80)90153-2

Bo Stenström, 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

G. M. Bergman, Modules over coproducts of rings, Trans. Amer. Math. Soc. 200 (1974), 1-32. MR 0357502




P. M. Cohn, Free rings and their relations, London Math. Soc. Monographs 19, Academic Press, New York, 1985. MR 800091




P. M. Cohn, The embedding of firs in skew fields, Proc. London Math. Soc. 23 (1971), 193-213. MR 297814




P. Dowbor, C. M. Ringel, and D. Simon, Hereditary artinian rings of finite representation type, Representation Theory II, Lecture Notes in Math., vol. 832, Springer-Verlag, Berlin and New York, 1980. MR 607156




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




P. Malcolmson, Determining homomorphisms to skew fields, J. Algebra 64 (1980), 399-414. MR 579068




B. Stenstrom, Rings of quotients, Grundlehren 217, Springer-Verlag, Berlin and New York, 1975. MR 389953