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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Failure of a quadratic analogue of Serre’s conjecture
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by S. Parimala PDF
Bull. Amer. Math. Soc. 82 (1976), 962-964
References
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  • Hyman Bass, Quadratic modules over polynomial rings, Contributions to algebra (collection of papers dedicated to Ellis Kolchin), Academic Press, New York, 1977, pp. 1–23. MR 0472799
  • H. Bass, E. H. Connell, and D. L. Wright, Locally polynomial algebras are symmetric algebras, Invent. Math. 38 (1976/77), no. 3, 279–299. MR 432626, DOI 10.1007/BF01403135
  • 4. D. Ferrand, Les modules profectifs de type fini sur un anneau de polynômes sur un corps sont libres, Séminaire Bourbaki, Exposé 484, Juin 1976.
  • G. Horrocks, Projective modules over an extension of a local ring, Proc. London Math. Soc. (3) 14 (1964), 714–718. MR 169878, DOI 10.1112/plms/s3-14.4.714
  • John Milnor and Dale Husemoller, Symmetric bilinear forms, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 73, Springer-Verlag, New York-Heidelberg, 1973. MR 0506372, DOI 10.1007/978-3-642-88330-9
  • Max Karoubi, Périodicité de la $K$-théorie hermitienne, Algebraic $K$-theory, III: Hermitian $K$-theory and geometric applications (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Lecture Notes in Math., Vol. 343, Springer, Berlin, 1973, pp. 301–411 (French). MR 0382400
  • Manfred Knebusch, Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen, S.-B. Heidelberger Akad. Wiss. Math.-Natur. Kl. 1969/70 (1969/1970), 93–157 (German). MR 0271118
  • S. Parimala, Projective modules and Hermitian matrices, J. Pure Appl. Algebra 7 (1976), no. 1, 5–14. MR 419448, DOI 10.1016/0022-4049(76)90063-3
  • S. Parimala and R. Sridharan, Projective modules over polynomial rings over division rings, J. Math. Kyoto Univ. 15 (1975), 129–148. MR 376760, DOI 10.1215/kjm/1250523121
  • Daniel Quillen, Projective modules over polynomial rings, Invent. Math. 36 (1976), 167–171. MR 427303, DOI 10.1007/BF01390008
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 82 (1976), 962-964
  • MSC (1970): Primary 15A63; Secondary 18F25
  • DOI: https://doi.org/10.1090/S0002-9904-1976-14234-6
  • MathSciNet review: 0419427