[代數] unique factorization domain
1.Find a unique factorization domain D and let d is an irreducible element
in D and let d belong to D such that d is an irreducible element in D but
D/<d> is not a field.
2.Let D be a ED with Euclidean valuation v:D\{0}→N∪{0}
Let I be a nontrivial ideal of D and let a belong to I be a nonzero element
prove that: I=<a> iff v(a) = min{v(b)|b belong to I\{0}}
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※ 編輯: TampaBayRays 來自: 114.43.146.151 (11/12 01:49)
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11/12 01:45, , 1F
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