- 130 名前：128 [2012/10/05(金) 07:34:28.19 ]
- 手元のテキストでは、積ではなくインターセクションになってます
www.math.iitb.ac.in/~srg/Lecnotes/AfsPuneLecNotes.pdf
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If A is a ring and P is a nonunit ideal of A, that is, P is an ideal of A
satisfying P ≠ A, then it is evident that P is a prime ideal if and only if P
satisfies the following property: if ∩[j=1〜n] Ij ⊆ P for any ideals I1, . . . , In of A,
then Ij ⊆ P for some j.
