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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the computation of stabilized tensor functors and the relative algebraic $K$-theory of dual numbers
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by Randy McCarthy PDF
Trans. Amer. Math. Soc. 353 (2001), 2371-2390 Request permission

Abstract:

We compute the stabilization of functors from exact categories to abelian groups derived from $n$-fold tensor products. Rationally, this gives a new computation for the relative algebraic $K$-theory of dual numbers.
References
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Additional Information
  • Randy McCarthy
  • Affiliation: Department of Mathematics, University of Illinois, Urbana, Illinois 61801
  • Email: randy@math.uiuc.edu
  • Received by editor(s): February 14, 1996
  • Received by editor(s) in revised form: January 19, 1999
  • Published electronically: February 13, 2001
  • Additional Notes: Research supported in part by National Science Foundation grant DMS 94-15615 and a Sloan Fellowship.
  • © Copyright 2001 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 2371-2390
  • MSC (1991): Primary 19D55, 55U99, 18G99
  • DOI: https://doi.org/10.1090/S0002-9947-01-02517-X
  • MathSciNet review: 1814074