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On free product of rings and the coherence property

The Functors K0 And K1

Part of the Lecture Notes in Mathematics book series (LNM,volume 342)

Keywords

  • Free Product
  • Group Ring
  • Noetherian Ring
  • Unital Ring
  • Coherence Property

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References

  1. H. Bass, A. Heller and R. G. Swan, The Whitehead Group of a Polynomial Extension, Publ. I.H.E.S. No. 22, 61–79 (1964).

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  2. N. Bourbaki, Algèbre Commutative, Chapters 1 and 2 (Fasc. 27), Pari: Hermann and Cie (1961).

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  3. S. U. Chase, Direct Products of Modules, Trans. Amer. Math. Soc. 97, 457–473 (1960).

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  4. K. G. Choo, The Projective Class Group of the Fundamental Group of a Surface is Trivial, to appear.

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  5. F. T. Farrell and W. C. Hsiang, A Formula for K1Rα[T], Proc. of Symposia in Pure Math. 17, 192–219 (1970).

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  6. J. J. Rotman, Notes on Homological Algebras, Van Nostrand Reinhold Company, New York, 1970.

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  7. J. Soublin, Un Anneau Cohèrent dont l'anneau des Polynômes n'est pas Cohèrent, C. R. Acad. Sc., Paris, t. 267 Ser. A, 241–243 (1968).

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  8. J. Stallings, Whitehead Torsion of Free Products, Ann. of Math. 82, 354–363 (1965).

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  9. F. Waldhausen, Whitehead Groups of Generalized Free Products, Preliminary Report.

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© 1973 Springer-Verlag

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Choo, K.G., Lam, K.Y., Luft, E. (1973). On free product of rings and the coherence property. In: Bass, H. (eds) “Classical” Algebraic K-Theory, and Connections with Arithmetic. Lecture Notes in Mathematics, vol 342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073724

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  • DOI: https://doi.org/10.1007/BFb0073724

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06435-0

  • Online ISBN: 978-3-540-37770-2

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