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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On natural homomorphisms of Witt rings


Authors: Marzena Ciemala and Kazimierz Szymiczek
Journal: Proc. Amer. Math. Soc. 133 (2005), 2519-2523
MSC (2000): Primary 11E81; Secondary 11R99
Published electronically: April 8, 2005
MathSciNet review: 2146193
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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.


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Additional Information

Marzena Ciemala
Affiliation: Instytut Matematyki, Uniwersytet Ślaski, Bankowa 14, 40-007 Katowice, Poland
Email: mc@ux2.math.us.edu.pl

Kazimierz Szymiczek
Affiliation: Instytut Matematyki, Uniwersytet Ślaski, Bankowa 14, 40-007 Katowice, Poland
Email: szymiczek@ux2.math.us.edu.pl

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07896-2
PII: S 0002-9939(05)07896-2
Keywords: Witt ring, nilideal, order in a global field
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
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.