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Gorenstein Witt Rings II
Published online by Cambridge University Press: 20 November 2018
Abstract
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The abstract Witt rings which are Gorenstein have been classified when the dimension is one and the classification problem for those of dimension zero has been reduced to the case of socle degree three. Here we classify the Gorenstein Witt rings of fields with dimension zero and socle degree three. They are of elementary type.
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- Research Article
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- Copyright © Canadian Mathematical Society 1997
References
1.
Cordes, C. and Ramsey, J., Quadratic forms over fields with u = q, /2 < +∞, Fund. Math.
99(1978), 1–10.Google Scholar
2.
Elman, R. and Lam, T.-Y., Classification theorems for quadratic forms over fields, Math. Helv.
49(1974), 373–381.Google Scholar
3.
Elman, R., Lam, T.-Y. and Wadsworth, A., Amenable fields and Pfister extensions, Conference on quadratic forms 1976, Queen's papers in pure and applied math. No. 46, 1977. 445–491.Google Scholar
6.
Fitzgerald, R., Local artinian rings and the Fröberg relation, Rocky Mtn. J. Math., to appear.Google Scholar
8.
Fitzgerald, R. and Yucas, J., Combinatorial techniques and abstract Witt rings I, J. Algebra
114(1988), 40–52.Google Scholar
9.
Lam, T.-Y., The Algebraic Theory of Quadratic Forms, Benjamin, Reading, Mass., 1973.Google Scholar
11.
Marshall, M., Abstract Witt rings, Queen's papers in pure and applied math. No. 57, Queen's University, Kingston, Ontario, 1980.Google Scholar
12.
Szczepanik, L., Quadratic forms schemes with non-trivial radical, . Colloq. Math.
49(1985), 143–160.Google Scholar
13.
Szymiczek, K., Generalized Hilbert fields, J. Reine Angew. Math.
329(1981), 58–65.Google Scholar
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