Signatures on semilocal rings
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- by Manfred Knebusch, Alex Rosenberg and Roger Ware PDF
- Bull. Amer. Math. Soc. 78 (1972), 62-64
References
-
1. E. Artin, Über die Zerlegung definiter Funktionen in Quadrate, Abh. Math. Sem. Univ. Hamburg 5 (1927), 100-115.
2. E. Artin and O. Schreier, Algebraische Konstruktion reeler Körper, Abh. Math. Sem. Univ. Hamburg 5 (1926), 85-99.
- Maurice Auslander and Oscar Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409. MR 121392, DOI 10.1090/S0002-9947-1960-0121392-6
- N. Bourbaki, Éléments de mathématique. Fasc. XXX. Algèbre commutative. Chapitre 5: Entiers. Chapitre 6: Valuations, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1308, Hermann, Paris, 1964 (French). MR 0194450
- S. U. Chase, D. K. Harrison, and Alex Rosenberg, Galois theory and Galois cohomology of commutative rings, Mem. Amer. Math. Soc. 52 (1965), 15–33. MR 195922
- A. Grothendieck, Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas IV, Inst. Hautes Études Sci. Publ. Math. 32 (1967), 361 (French). MR 238860 7. D. K. Harrison, Witt rings, Lecture Notes, Department of Mathematics, University of Kentucky, Lexington, Kentucky, 1970.
- Manfred Knebusch, Runde Formen über semilokalen Ringen, Math. Ann. 193 (1971), 21–34 (German). MR 291078, DOI 10.1007/BF02052851
- Manfred Knebusch, Alex Rosenberg, and Roger Ware, Structure of Witt rings, quotients of abelian group rings, and orderings of fields, Bull. Amer. Math. Soc. 77 (1971), 205–210. MR 271091, DOI 10.1090/S0002-9904-1971-12683-6
- Manfred Knebusch, Alex Rosenberg, and Roger Ware, Structure of Witt rings and quotients of Abelian group rings, Amer. J. Math. 94 (1972), 119–155. MR 296103, DOI 10.2307/2373597
- F. Lorenz and J. Leicht, Die Primideale des Wittschen Ringes, Invent. Math. 10 (1970), 82–88 (German). MR 266949, DOI 10.1007/BF01402972
- Albrecht Pfister, Quadratische Formen in beliebigen Körpern, Invent. Math. 1 (1966), 116–132 (German). MR 200270, DOI 10.1007/BF01389724
- Albrecht Pfister, Zur Darstellung von $-1$ als Summe von Quadraten in einem Körper, J. London Math. Soc. 40 (1965), 159–165 (German). MR 175893, DOI 10.1112/jlms/s1-40.1.159
- Alex Rosenberg and Roger Ware, The zero-dimensional Galois cohomology of Witt rings, Invent. Math. 11 (1970), 65–72. MR 292872, DOI 10.1007/BF01389806
Additional Information
- Journal: Bull. Amer. Math. Soc. 78 (1972), 62-64
- MSC (1970): Primary 15A63, 13H99; Secondary 06A70, 12J15
- DOI: https://doi.org/10.1090/S0002-9904-1972-12852-0
- MathSciNet review: 0285516