Dummit and Foote (D&F), Ch15, Section 15.1, Exercise 15 reads as follows:
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If and ,
show that is the product ideal
where and .
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I am having trouble getting started on this problem.
One issue/problem I have is - what is the exact nature of and . What (explicitly) are the nature of the elements of these ideals.
I would appreciate some help and guidance.
Peter
Note: D&F define as follows:
for all