Witt equivalence of quadratic extensions of global fields

Alfred Czogała

Mathematica Slovaca (1991)

  • Volume: 41, Issue: 3, page 251-256
  • ISSN: 0139-9918

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Czogała, Alfred. "Witt equivalence of quadratic extensions of global fields." Mathematica Slovaca 41.3 (1991): 251-256. <http://eudml.org/doc/34319>.

@article{Czogała1991,
author = {Czogała, Alfred},
journal = {Mathematica Slovaca},
keywords = {Witt rings; symmetric bilinear forms; Witt equivalence; global fields; quadratic extensions},
language = {eng},
number = {3},
pages = {251-256},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Witt equivalence of quadratic extensions of global fields},
url = {http://eudml.org/doc/34319},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Czogała, Alfred
TI - Witt equivalence of quadratic extensions of global fields
JO - Mathematica Slovaca
PY - 1991
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 41
IS - 3
SP - 251
EP - 256
LA - eng
KW - Witt rings; symmetric bilinear forms; Witt equivalence; global fields; quadratic extensions
UR - http://eudml.org/doc/34319
ER -

References

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  1. CARPENTER J., Finiteness Theorems for Forms over Number Fields, Dissertation, LSU Baton Rouge, La., 1989. (1989) MR2637678
  2. CZOGALA A., Witt Rings of Algebraic Number Fields, (Polish). Dissertation, Silesian University, Katowice, 1987. (1987) 
  3. CZOGALA A., On reciprocity equivalence of quadratic number fields, Acta Arith. 58 (To appear.). Zbl0733.11012MR1111088
  4. HARRISON D. K., Witt Rings, Univ. of Kentucky, 1970. (1970) 
  5. JACOB B., WARE R., Realizing dyadic factors of elementary type Witt rings and pro-2 Galois groups, Preprint (1989). (1989) MR1128705
  6. PERLIS R., SZYMICZEK K., CONNER P. E., LITHERLAND R., Matching Witts with global fields, Preprint (1989). (1989) MR1260721
  7. SZCZEPANIK L., On W R-equivalence of quadratic extensions of W R-equivalent fields, Univ. Slanski w Katowicach, Prace mat. 10 (1980), p. 17-22. (1980) MR0594923
  8. SZYMICZEK K., Quadratic forms over fields, Dissert. Math. 152 (1977), 1-63. (1977) MR0450199
  9. SZYMICZEK K., Witt equivalence of global fields, Commun. Algebra 19 (1991), 1125-1149. (19) MR1102331
  10. SZYMICZEK K., Matching Witts locally and globally, Math. Slovaca 41 (1991), 315-330. (1991) Zbl0766.11023MR1126669

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