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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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On natural homomorphisms of Witt rings
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by Marzena Ciemała and Kazimierz Szymiczek PDF
Proc. Amer. Math. Soc. 133 (2005), 2519-2523 Request permission

Abstract:

We prove that the kernel of the ring homomorphism between the Witt ring of any order of a global field and the Witt ring of the field is a nilideal.
References
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Additional Information
  • Marzena Ciemała
  • Affiliation: Instytut Matematyki, Uniwersytet Śla̧ski, Bankowa 14, 40-007 Katowice, Poland
  • Email: mc@ux2.math.us.edu.pl
  • Kazimierz Szymiczek
  • Affiliation: Instytut Matematyki, Uniwersytet Śla̧ski, Bankowa 14, 40-007 Katowice, Poland
  • Email: szymiczek@ux2.math.us.edu.pl
  • Received by editor(s): March 31, 2004
  • Published electronically: April 8, 2005
  • Additional Notes: This work was supported by the State Committee for Scientific Research (KBN) of Poland under Grant 1 P03A 025 26
  • Communicated by: David E. Rohrlich
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 2519-2523
  • MSC (2000): Primary 11E81; Secondary 11R99
  • DOI: https://doi.org/10.1090/S0002-9939-05-07896-2
  • MathSciNet review: 2146193