×
Coleman, D. B.; Cunningham, Joel

Harrison’s Witt ring of a commutative ring. (English) Zbl 0221.13019

J. Algebra 18, 549-564 (1971).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0221.13019

Cited in 2 Documents

MSC:

13F35 Witt vectors and related rings
13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations
11E81 Algebraic theory of quadratic forms; Witt groups and rings
Cite Review PDF
Full Text: DOI

References:

[1] Bak, A., On Modules with Quadratic Forms, (Lecture Notes in Mathematics No. 108 (55-66) (1969), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0192.37202
[2] Bass, H., Algebraic \(K\)-Theory (1968), Benjamin: Benjamin New York · Zbl 0174.30302
[3] Bourbaki, N., Algèbre, ((1959), Hermann: Hermann Paris), 1272, Chap. IX, Act. Sc. Ind.
[4] Fröhlich, A.; McEvett, A., Forms over rings with involution, J. Algebra, 12, 79-104 (1969) · Zbl 0256.15017
[5] Harrison, D. K., Witt Rings (1970), University of Kentucky, Notes by J. Cunningham
[6] Knebusch, M., Grothendieck- und Witt ringe von nichtausgearteten symmetrischen Bilinearformen, Sitzber. Akad. Wiss., Math. Nat. Kl. (Heidelberg), 3, 1-69 (1969/1970) · Zbl 0256.15016
[7] Lorenz, F., Quadratische Formen über Körpern, (Lecture Notes in Mathematics No. 130 (1970), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0211.35303
[8] Lorenz, F.; Leicht, J., Die Primideale des Wittschen Ringes, Invent. Math., 10, 82-88 (1970) · Zbl 0227.13015
[9] Milnor, J., Algebraic \(K\)-theory and quadratic forms, Invent. Math., 9, 318-344 (1970) · Zbl 0199.55501
[10] Pfister, A., Quadratic Forms (1967), Cambridge University, Notes by A. D. McGettrick · Zbl 0222.10021
[11] Serre, J. P., Formes bilinéaires symétriques entières à discriminant ±1, (Sem. H. Cartan. Sem. H. Cartan, 1961/1962 (1964), Secrétariat mathématique: Secrétariat mathématique Paris), Exp. 14 · Zbl 0135.08801
[12] Scharlau, W., Quadratic Forms, (Queen’s Papers on Pure and Applied Mathematics, No. 22 (1969), Queen’s University: Queen’s University Kingston, Ontario) · Zbl 0194.35104
[13] Witt, E., Theorie der quadratischen Formen in beliebigen Körpern, J. Reine Angew. Math., 176, 31-44 (1937) · JFM 62.0106.02
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.