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A class of finite commutative rings constructed from Witt rings

  • Thomas Craven (a1) and Monika Vo (a2)
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Motivated by constructions of Witt rings in the algebraic theory of quadratic forms, the authors construct new classes of finite commutative rings and explore some of their properties. These rings are constructed as quotient rings of a special class of integral group rings for which the group is an elementary 2-group. The new constructions are compared to other rings in the literature.

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References
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[1]Andradas C., Bröcker L. and Ruiz J., Constructible sets in real geometry (Springer-Verlag, Berlin, 1966).
[2]Craven T., ‘Stability in Witt rings’, Trans. Amer. Math. Soc. 225 (1977), 227242.
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[10]Lam T.Y., The algebraic theory of quadratic forms, Mathematics Lecture Note Series, (Revised second printing) (Benjamin/Cummings Publishing Co., Inc., Advanced Book Program, Reading, Mass., 1980).
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[15]Vo M., New classes of finite commutative rings, (Ph.D. thesis) (University of Hawaii, Honolulu, HI, 2003).
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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