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Article

Title: Matching Witts locally and globally (English)
Author: Szymiczek, Kazimierz
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 41
Issue: 3
Year: 1991
Pages: 315-330
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Category: math
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MSC: 11E12
MSC: 11E81
idZBL: Zbl 0766.11023
idMR: MR1126669
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Date available: 2009-09-25T10:32:54Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/133189
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Reference: [1] ARASON J. K., ELMAN R., JACOB B.: Rigid elements, valuations and realization of Witt rings.J. Algebra, 110 (1987), 449-467. Zbl 0629.10016, MR 0910395
Reference: [2] BAEZA R., MORESI R.: On the Witt equivalence of fields of characteristic 2.J. Algebra, 92 (1985), 446-453. Zbl 0553.10016, MR 0778461
Reference: [3] CARPENTER J.: Finiteness Theorems for Forms over Number Fields.Dissertation, LSU Baton Rouge, La., 1989. MR 2637678
Reference: [4] CZOGALA A.: Witt Rings of Algebraic Number Fields.(Polish). Dissertation, Silesian University, Katowice, 1987.
Reference: [5] CZOGALA A.: On reciprocity equivalence of quadratic number fields.Acta Arith. (to appear). Zbl 0733.11012, MR 1111088
Reference: [6] HARRISON D. K.: Witt Rings.Univ. of Kentucky, 1970.
Reference: [7] LAM T. Y.: The Algebraic Theory of Quadratic Forms.Benjamin/Cummings, Reading, Mass, 1980. Zbl 0437.10006, MR 0634798
Reference: [8] MILNOR J., HUSEMOLLER D.: Symmetric Bilinear Forms.Springer Verlag, 1973. Zbl 0292.10016, MR 0506372
Reference: [9] O'MEARA O.T.: Introduction to Quadratic Forms.Springer Verlag, 1971. Zbl 0207.05304, MR 0347768
Reference: [10] PALFREY T.: Density Theorems for Reciprocity Equivalence.Dissertation, LSU Baton Rouge, La., 1989. MR 2638308
Reference: [11] PERLIS R., SZYMICZEK K., CONNER P. E., LITHERLAND R.: Matching Witts with global fields.Preprint (1989). MR 1260721
Reference: [12] SZYMICZEK K.: Problem No. 7.In : Proc. Summer School on Number Theory, Chlébské 1983. J. E. Purkyně Univ., Brno, 1985.
Reference: [13] SZYMICZEK K.: Witt equivalence of global fields.Commun. Algebra 19 (1991), 1125-1149. Zbl 0724.11020, MR 1102331
Reference: [14] WARE R.: Valuation rings and rigid elements in fields.Canad. J. Math., 33 (1981), 1338-1355. Zbl 0514.10015, MR 0645230
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