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Sur deux conjectures de Small. (French) Zbl 0343.13002

MSC:
13B05 Galois theory and commutative ring extensions
15A63 Quadratic and bilinear forms, inner products
11R11 Quadratic extensions
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References:
[1] A. MICALI et P. REVOY Algèbres de Clifford séparables , Secrétariat des Mathématiques, Université de Montpellier, 1969 ; M.R. 46, 198 b ( 1973 ). · Zbl 0207.34401
[2] A. MICALI et O. VILLAMAYOR Sur les algèbres de Clifford , Ann. Sc. Ecole Norm. Sup. 4è. I ( 1968 ), 271-304. Numdam | MR 41 #244 | Zbl 0182.05304 · Zbl 0182.05304 · numdam:ASENS_1968_4_1_2_271_0 · eudml:81833
[3] C. SMALL The group of quadratic extensions . J. of Pure and Applied Algebra 2 ( 1972 ) 83-105. MR 46 #5297 | Zbl 0242.13005 · Zbl 0242.13005 · doi:10.1016/0022-4049(72)90015-1
[4] K. KITAMURA On the free quadratic extension of a commutative ring . Osaka J. Math. 10 ( 1973 ), 15-20. MR 48 #6071 | Zbl 0264.13008 · Zbl 0264.13008
[5] J.-D. THEROND Le groupe des extensions quadratiques séparables libres de l’anneau des entiers de Q(\surd d) , C.R. Acad. Sc. Paris. Série A, 281 ( 1975 ), 939-942. MR 53 #13159 | Zbl 0343.13003 · Zbl 0343.13003
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