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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Motivic strict ring models for $K$-theory
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by Oliver Röndigs, Markus Spitzweck and Paul Arne Østvær PDF
Proc. Amer. Math. Soc. 138 (2010), 3509-3520 Request permission

Abstract:

It is shown that the $K$-theory of every noetherian base scheme of finite Krull dimension is represented by a commutative strict ring object in the setting of motivic stable homotopy theory. The adjective ‘strict’ is used here in order to distinguish between the type of ring structure we construct and one which is valid only up to homotopy. An analogous topological result follows by running the same type of arguments as in the motivic setting.
References
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Additional Information
  • Oliver Röndigs
  • Affiliation: Institut für Mathematik, Universität Osnabrück, 49069 Osnabrück, Germany
  • Email: oroendig@math.uni-osnabrueck.de
  • Markus Spitzweck
  • Affiliation: Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, Norway
  • Email: markussp@math.uio.no
  • Paul Arne Østvær
  • Affiliation: Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, Norway
  • Email: paularne@math.uio.no
  • Received by editor(s): October 13, 2009
  • Received by editor(s) in revised form: January 19, 2010
  • Published electronically: May 10, 2010
  • Communicated by: Brooke Shipley
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 3509-3520
  • MSC (2010): Primary 14F42, 55P43; Secondary 19E08
  • DOI: https://doi.org/10.1090/S0002-9939-10-10394-3
  • MathSciNet review: 2661551