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Original Articles

On Transversality for Quadratic Spaces Over Rings with Many Units

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Pages 551-559 | Received 01 May 2002, Published online: 01 Feb 2007

References

  • Baeza , R. 1978 . Quadratic Forms over Semilocal Rings , Lecture Notes in Mathematics Vol. 655 , Berlin : Springer Verlag .
  • Baeza , R. and Knebusch , M. 1974 . Annulatoren von Pfisterformen über semilokalen Ringen . Math. Z. , 140 : 41 – 62 .
  • Dias , I. 1988 . Formas Quadráticas Sobre LG-anéis. Ph.D. thesis, Universidade Estadual de Campinas, Brazil
  • Dias , I. 1991 . On the orthogonal group over an LG-ring . Comm. Algebra , 19 : 443 – 454 .
  • Estes , D. R. and Guralnick , R. M. 1982 . Module equivalences: local to global when primitive polynomials represent units . J. Algebra , 77 : 138 – 157 .
  • McDonald , B. R. and Kirkwood , B. 1984 . Transversals and symmetric inner product spaces .
  • McDonald , B. R. and Waterhouse , W. C. 1981 . Projective modules over rings with many units . Proc. Amer. Math. Soc. , 83 : 455 – 458 .
  • Walter , L. J. 1988 . Quadratic Forms, Orderings and Quaternion Algebras Over Rings with Many Units. M.Sc. thesis, Univ. Saskatchewan, Saskatoon, SK
  • #Communicated by M. Ferrero.

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