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Generic algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 917)

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References

  1. Albert, A. A., Structure of Algebras, American Math. Soc. Coll. Publ., v. 24, New York 1939.

    Google Scholar 

  2. Dcmeyer, F. R., The Brauer group of a ring modulo an ideal. Rocky Mtn. J. of Math. v. 6, no. 2, Spring 1976.

    Google Scholar 

  3. DeMeyer, F. and Ingraham, E., Separable Algebras over Commutative Rings, Springer-Verlag, Berlin, 1971.

    CrossRef  MATH  Google Scholar 

  4. Fein, B. and Schacher, M., Brauer groups of rational function fields over global fields, appears in kerraire, M. and Ojanguren, M., Groupe de Brauer. Springer Verlag Lecture Notes in Mathematics no. 844, Berlin/Heidelberg/New York, 1981, p. 46–74.

    Google Scholar 

  5. Formanek, E., The Center of the Ring 3×3 Generic Matrices, Lin. and Mult. Alg. 7 (1979), 203–212.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. -, The Center of the Ring of 4×4 Generic Matrices, J. of Alg. 62 (1980), 304–319.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Jacobson, N., PI Algebras, Springer-Verlag, Lecture Notes in Mathematics, no. 441, Springer-Verlag, Berlin/Heidelberg/New York 1975.

    Google Scholar 

  8. Knus, M. A. and Ojanguren, M., Theorie de la Descente et Algèbres d'Azumaya, Lecture Notes in Mathematics, no. 389, Springer-Verlag, Berlin/Heidelberg/New York 1974.

    CrossRef  MATH  Google Scholar 

  9. Knus, M. A. and Ojanguren, M., A norm for modules and algebras, Math. Z. 142, 33–45 (1975).

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Knus, M. A. and Ojanguren, M., Saltman, D. J., On Brauer Groups in characteristic p. Appears in Zelinski, D. Ed., Brauer Groups, Springer Verlag Lecture Notes in Mathematics, no. 549 Berlin/Heidelberg/New York 1976.

    Google Scholar 

  11. Procesi, G., Noncommutative affine rings. Atti. Acad. Naz. Lincei, Ser. VIII 8, f. 6 (1967), 239–255.

    MathSciNet  MATH  Google Scholar 

  12. Reiner, I., Maximal Orders. Academic Press, London 1975.

    MATH  Google Scholar 

  13. Ribenboim, P., Theorie des Valuations, Les Presses de L'Universite de Montreal, Montreal 1964.

    MATH  Google Scholar 

  14. Rosset, S., Abelian splitting of division algebras of prime degree, Comment. Math. Helv. 52 (1977), 519–523.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Saltman, D., Indecomposable division algebras, Comm. in Alg. 7(8), 791–797 (1979).

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. -, Division algebras over discrete valued fields, Comm. in Alg. 8(18), 1749–1774 (1980).

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. Saltman, D., Generic Galois extensions and some problems in field theory, in preparation.

    Google Scholar 

  18. Saltman, D., Generic Structures and Field Theory, to appear in the proceedings of the Jacobson Conference at Yale, 1981.

    Google Scholar 

  19. Serre, J.-P., Local Fields, Springer-Verlag, Berlin/Heidelberg/New York 1979.

    CrossRef  MATH  Google Scholar 

  20. Shatz, S., Profinite Groups, Arithmetic, and Geometry, Princeton University Press 1972.

    Google Scholar 

  21. Snider, R. L., Is the Brauer group generated by cyclic algebras? Appears in Ring Theory, Waterloo 1978, Lecture Notes in Mathematics, no. 734, Springer-Verlag, Berlin/Heidelberg/New York 1979, 279–301.

    Google Scholar 

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Saltman, D.J. (1982). Generic algebras. In: van Oystaeyen, F.M.J., Verschoren, A.H.M.J. (eds) Brauer Groups in Ring Theory and Algebraic Geometry. Lecture Notes in Mathematics, vol 917. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092230

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  • DOI: https://doi.org/10.1007/BFb0092230

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