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Knebusch, Manfred

Generalization of a theorem of Artin-Pfister to arbitrary semilocal rings, and related topics. (English) Zbl 0315.13014

J. Algebra 36, 46-67 (1975).
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Cited in 7 Documents

MSC:

13H99 Local rings and semilocal rings
12D15 Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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References:

[1] Artin, E., Über die Zerlegung definiter Funktionen in Quadrate, Abh. Math. Sem. Univ. Hamburg, 5, 100-115 (1927) · JFM 52.0122.01
[2] Baeza, R., Über die Torsion der Wittgruppe \(Wq (A)\) eines semilokalen Ringes, Math. Ann., 207, 121-131 (1974) · Zbl 0248.13031
[3] Baeza, R.; Knebusch, M., Annullatoren von Pfisterformen über semilokalen Ringen, Math. Z., 140, 41-62 (1974) · Zbl 0276.13021
[4] Bröcker, L., Zur Theorie der quadratischen Formen über formal reellen Körpern, Math. Ann., 210, 233-256 (1974) · Zbl 0273.13018
[5] Knebusch, M., Runde Formen über semilokalen Ringen, Math. Ann., 193, 21-34 (1971) · Zbl 0217.04701
[6] Knebusch, M., Real closures of semilocal rings and extension of real places, Bull. Amer. Math. Soc., 79, 78-81 (1972) · Zbl 0254.13006
[7] M. KnebuschJ. Reine Angew. Math.; M. KnebuschJ. Reine Angew. Math. · Zbl 0331.13007
[8] Knebusch, M., Isometrien über semilokalen Ringen, Math. Z., 108, 255-268 (1969) · Zbl 0188.35502
[9] Knebusch, M., Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen, Sitz. ber. Heidelberger Akad. Wiss, 93-157 (1969/1970), (also obtainable as single volume from Springer Verlag) · Zbl 0256.15016
[10] Knebusch, M.; Rosenberg, A.; Ware, R., Signatures on semilocal rings, J. Algebra, 26, 208-250 (1973) · Zbl 0273.13016
[11] Knebusch, M.; Rosenberg, A.; Ware, R., Structure of Witt rings and quotients of abelian group rings, Amer. J. Math., 94, 119-155 (1972) · Zbl 0248.13030
[12] Kneser, M., Witts Satz für quadratische Formen über lokalen Ringen, (Nachrichten Akad. Wiss. Göttingen, II. Nachrichten Akad. Wiss. Göttingen, II, Math. Phys. Kl. (1972)), 195-203, Heft 9 · Zbl 0244.10021
[13] O’Meara, O. T., Introduction to Quadratic Forms (1963), Springer: Springer Berlin Göttingen, Heidelberg · Zbl 0107.03301
[14] Pfister, A., Quadratische Formen in beliebigen Körpern, Invent, math., 1, 116-132 (1966) · Zbl 0142.27203
[15] Prestel, A., Quadratische Semiordnungen und quadratische Formen, Math. Z., 133, 319-342 (1973) · Zbl 0275.12013
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