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An absolute value or "Bewertung" of a ring is a function ||6|| which has some of the formal properties of the ordinary absolute value.More explicitly, for any 6 in the ring, ||6|| must be a real number with the * Presented to the Society, April 20, 1935, under the title, Abstract absolute values and polygonal irreducibility criteria; received by the editors June 28, 1935.f See Krschk 15.(Numbers in brackets refer to the bibliography at the end of the paper.)SAUNDERS MacLANE
Saunders MacLane (Wed,) studied this question.