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On natural homomorphisms of Witt rings
Author(s):
Marzena
Ciemala;
Kazimierz
Szymiczek
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2519-2523.
MSC (2000):
Primary 11E81;
Secondary 11R99
Posted:
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.
References:
- 1.
- R. Baeza, Quadratic forms over semilocal rings. LNM 655. Springer Verlag, Berlin - Heidelberg - New York 1978. MR 0491773 (58:10972)
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 as a sum of squares in an arbitrary commutative ring. Contemp. Math. 8 (1982), 99-106. MR 0653177 (83k:10039) - 3.
- T. C. Craven, A. Rosenberg, and R. Ware, The map of the Witt ring of a domain into the Witt ring of its field of fractions. Proc. Amer. Math. Soc. 51 (1975), 25-30. MR 0384789 (52:5662)
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Additional Information:
Marzena
Ciemala
Affiliation:
Instytut Matematyki, Uniwersytet Slaski, Bankowa 14, 40-007 Katowice, Poland
Email:
mc@ux2.math.us.edu.pl
Kazimierz
Szymiczek
Affiliation:
Instytut Matematyki, Uniwersytet Slaski, Bankowa 14, 40-007 Katowice, Poland
Email:
szymiczek@ux2.math.us.edu.pl
DOI:
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
Posted:
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 of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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