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Euclidean Domain

  • Definition: An integral domain R is a Euclidean domain if there is a size function sigma on R such that division with remainder is possible, in the following sense: Let a and b be elements of R, and suppose that a is not zerp. Tere are elements q and r in R such that b=aq+r, and either r=0 or else sigma(r)

    Source: Algebra, second edition by Michael Artin

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