Ejemplo de Identidad de Bezout
Ejemplo de Identidad de Bezout
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(Characterization of P.I.D.s) Prove that R is a P.I.D. if and only if R is a U.F.D. that is also a Bezout Domain (cf. Exercise 7 in Section 2). [One direction is given by Theorem 14. For the converse, let a be a nonzero element of the ideal I with a minimal number of irreducible factors. Prove that I=(a) by showing that if there is an element b ∈I that is not in (a) then (a, b)=(d) leads to a contradiction.] | Numerade
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