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Communications in Algebra Volume 25, 1997 - Issue 2
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Original Articles

On n-hilbert fields in characteristic 2

Clotilzio Moreira dos Santos Departamento de Matemótica, IBILCE-UNESP, RIO PRETO, S.J, 15054-000, S.P.-BRAZIL
Pages 481-485 | Received 01 Apr 1996, Published online: 13 Oct 2008

References

  • Aravire , R. and Baeza , R. 1989 . “The Behavior of the θ‐Invariant of a Field of Characteristic 2 Under Finite Extensions” . Rocky Mountain Journal of Math. , 19 ( 3 ) : 589 – 600 .
  • Baeza , R. 1978 . “Quadratic Forms Over Semi-Local Rings” . New York, , Berlin : Springer .
  • Baeza , R. 1981 . “Algebras de Cuaterniones, Formas Cuadraticas y un Resultado de C.Ar” . Notas de la Sociedad Matemática de Chile , 2 : 1 – 19 .
  • Baeza , R. 1990 . “The Norm Teorem for Quadratic Forms Over a Field of Characteris tic 2” . Comm. in Algebra , 18 ( 5 ) : 1337 – 1348 .
  • Koziol , K. 1988 . “Quadratic Forms Over Quadratic Extensions of Generalized Local Fields” . J. of Algebra , 118 ( 5 ) : 1 – 13 .
  • Sah , C. H. 1972 . “Symmetric Bilinear Forms and Quadratic Forms” . J. of Algebra , 20 ( 5 ) : 144 – 160 .
  • Springer , T. A. 1955 . “Quadratic Forms Over Fields With a Discrete Valuation” . Indag. Math , 17 ( 5 ) : 352 – 362 .
  • Szymiczek , K. 1981 . “Generalized Hilbert Fields” . J. Reine Angew. Math , 329 ( 5 ) : 58 – 65 .
  • Vigneras , M. F. 1980 . “Arithmétique des Algébres de Quaternions” . Sprin ger‐Verlag .

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