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2 results

  • Annihilating Polynomials for Group Rings and Witt Rings

  • Jurgen Hurrelbrink
  • Journal:
    Canadian Mathematical Bulletin / Volume 32 / Issue 4 / 01 December 1989
    Published online by Cambridge University Press:
    20 November 2018, pp. 412-416
    Print publication:
    01 December 1989
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  • Natural annihilating polynomials for group rings are produced; this yields, as a special case, the annihilating polynomials for Witt rings that have been discovered only recently.

  • Quadratic forms and Linkage of Quaternion Algebras

  • Vatsala Krishnamani, Joseph Yucas
  • Journal:
    Canadian Mathematical Bulletin / Volume 31 / Issue 3 / 01 September 1988
    Published online by Cambridge University Press:
    20 November 2018, pp. 301-307
    Print publication:
    01 September 1988
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  • A field F satisfies n-linkage on a subset of Ḟ if whenever the quaternion algebras

    are equal in Br(F) there exist z ∈ Ḟ with

    for i = 1, 2, . . ., n. This linkage of quaternion algebras is examined and its relationship to the torsion freeness of I2(F) and to the strong approximation property is investigated.