Matching Witts locally and globally

Kazimierz Szymiczek

Mathematica Slovaca (1991)

  • Volume: 41, Issue: 3, page 315-330
  • ISSN: 0139-9918

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Szymiczek, Kazimierz. "Matching Witts locally and globally." Mathematica Slovaca 41.3 (1991): 315-330. <http://eudml.org/doc/32408>.

@article{Szymiczek1991,
author = {Szymiczek, Kazimierz},
journal = {Mathematica Slovaca},
keywords = {Harrison map; Witt rings; symmetric bilinear forms; reciprocity equivalence; Witt equivalence; local Witt rings; global fields; valuation; rigidity},
language = {eng},
number = {3},
pages = {315-330},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Matching Witts locally and globally},
url = {http://eudml.org/doc/32408},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Szymiczek, Kazimierz
TI - Matching Witts locally and globally
JO - Mathematica Slovaca
PY - 1991
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 41
IS - 3
SP - 315
EP - 330
LA - eng
KW - Harrison map; Witt rings; symmetric bilinear forms; reciprocity equivalence; Witt equivalence; local Witt rings; global fields; valuation; rigidity
UR - http://eudml.org/doc/32408
ER -

References

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  1. ARASON J. K., ELMAN R., JACOB B., Rigid elements, valuations and realization of Witt rings, J. Algebra, 110 (1987), 449-467. (1987) Zbl0629.10016MR0910395
  2. BAEZA R., MORESI R., On the Witt equivalence of fields of characteristic 2, J. Algebra, 92 (1985), 446-453. (1985) Zbl0553.10016MR0778461
  3. CARPENTER J., Finiteness Theorems for Forms over Number Fields, Dissertation, LSU Baton Rouge, La., 1989. (1989) MR2637678
  4. CZOGALA A., Witt Rings of Algebraic Number Fields, (Polish). Dissertation, Silesian University, Katowice, 1987. (1987) 
  5. CZOGALA A., On reciprocity equivalence of quadratic number fields, Acta Arith. (to appear). Zbl0733.11012MR1111088
  6. HARRISON D. K., Witt Rings, Univ. of Kentucky, 1970. (1970) 
  7. LAM T. Y., The Algebraic Theory of Quadratic Forms, Benjamin/Cummings, Reading, Mass, 1980. (1980) Zbl0437.10006MR0634798
  8. MILNOR J., HUSEMOLLER D., Symmetric Bilinear Forms, Springer Verlag, 1973. (1973) Zbl0292.10016MR0506372
  9. O'MEARA O.T., Introduction to Quadratic Forms, Springer Verlag, 1971. (1971) Zbl0207.05304MR0347768
  10. PALFREY T., Density Theorems for Reciprocity Equivalence, Dissertation, LSU Baton Rouge, La., 1989. (1989) MR2638308
  11. PERLIS R., SZYMICZEK K., CONNER P. E., LITHERLAND R., Matching Witts with global fields, Preprint (1989). (1989) MR1260721
  12. SZYMICZEK K., Problem No. 7, In : Proc. Summer School on Number Theory, Chlébské 1983. J. E. Purkyně Univ., Brno, 1985. (1983) 
  13. SZYMICZEK K., Witt equivalence of global fields, Commun. Algebra 19 (1991), 1125-1149. (1991) Zbl0724.11020MR1102331
  14. WARE R., Valuation rings and rigid elements in fields, Canad. J. Math., 33 (1981), 1338-1355. (1981) Zbl0514.10015MR0645230

Citations in EuDML Documents

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  1. Alfred Czogała, On integral Witt equivalence of algebraic number fields
  2. Alfred Czogała, Witt equivalence of quadratic extensions of global fields
  3. Przemysław Koprowski, Matching local Witt invariants
  4. Przemysław Koprowski, Graded quaternion symbol equivalence of function fields
  5. Przemysław Koprowski, Graded Hilbert-symbol equivalence of number fields
  6. Przemysław Koprowski, On existence of tame Harrison map
  7. Radan Kučera, Kazimierz Szymiczek, Witt equivalence of cyclotomic fields

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