Gorenstein Witt Rings II
Canadian journal of mathematics, Tome 49 (1997) no. 3, pp. 499-519

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1997-023-1
Mots-clés : 11E81, 13H10
Fitzgerald, Robert W. Gorenstein Witt Rings II. Canadian journal of mathematics, Tome 49 (1997) no. 3, pp. 499-519. doi: 10.4153/CJM-1997-023-1
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[1] 1. Cordes, C. and Ramsey, J., Quadratic forms over fields with u = q, /2 < +∞, Fund. Math. 99(1978), 1–10. Google Scholar

[2] 2. Elman, R. and Lam, T.-Y., Classification theorems for quadratic forms over fields, Math. Helv. 49(1974), 373–381. Google Scholar

[3] 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

[4] 4. Elman, R., Pfister ideals in Witt rings, Math. Ann. 245(1979), 219–245. Google Scholar

[5] 5. Fitzgerald, R., Gorenstein Witt rings, Canad. J. Math. 40(1988), 1186–1202. Google Scholar

[6] 6. Fitzgerald, R., Local artinian rings and the Fröberg relation, Rocky Mtn. J. Math., to appear. Google Scholar

[7] 7. Fitzgerald, R., Bass series of small Witt rings, preprint. Google Scholar

[8] 8. Fitzgerald, R. and Yucas, J., Combinatorial techniques and abstract Witt rings I, J. Algebra 114(1988), 40–52. Google Scholar

[9] 9. Lam, T.-Y., The Algebraic Theory of Quadratic Forms, Benjamin, Reading, Mass., 1973. Google Scholar

[10] 10. Kula, M., Finitely Generated Witt Rings, Univwersytet Ślaski, Katowice, 1991. Google Scholar

[11] 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] 12. Szczepanik, L., Quadratic forms schemes with non-trivial radical, . Colloq. Math. 49(1985), 143–160. Google Scholar

[13] 13. Szymiczek, K., Generalized Hilbert fields, J. Reine Angew. Math. 329(1981), 58–65. Google Scholar

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