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let A be a Euclidean ring, with norm (N). consider B = A-{-1, 0, 1} and x E B such that N(x) = min{N(2): Z
let A be a Euclidean ring, with norm (N). consider B = A-{-1, 0, 1} and x E B such that N(x) = min{N(2): Z EB} if I is an ideal of A generated by x. show that the quotient ring A/, has at most three elements. let A be a Euclidean ring, with norm (N). consider B = A-{-1, 0, 1} and x E B such that N(x) = min{N(2): Z EB} if I is an ideal of A generated by x. show that the quotient ring A/, has at most three elements
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