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A note on the localization theorem for projective modules


Author: Clayton Sherman
Journal: Proc. Amer. Math. Soc. 75 (1979), 207-208
MSC: Primary 18F25
DOI: https://doi.org/10.1090/S0002-9939-1979-0532136-8
MathSciNet review: 532136
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Abstract: Let R be a ring and S a central multiplicative subset. An example is given to show that the localization theorem for projective modules, valid when S consists of non-zero-divisors, does not hold when S is allowed to contain zero-divisors.


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

  • [1] S. Gersten, The localization theorem for projective modules, Comm. Algebra 2 (1974), 307-350. MR 0357547 (50:10015)
  • [2] D. Grayson, K-theory of hereditary categories, J. Pure Appl. Algebra 11 (1978), 67-74. MR 0476833 (57:16385)
  • [3] -, Higher algebraic K-theory: II (after Quillen), Algebraic K-Theory (Evanston, 1976), Lecture Notes in Math., vol. 551, Springer-Verlag, New York, 1976.
  • [4] I. Kaplansky, Fields and rings, 2nd ed., Univ. of Chicago Press, Chicago, 1972. MR 0349646 (50:2139)

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DOI: https://doi.org/10.1090/S0002-9939-1979-0532136-8
Article copyright: © Copyright 1979 American Mathematical Society

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