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Firepanda
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[Number Theory] Find all the ideals with the element 6 in them in Z[√-5]
Edited original question since I have now found the answer (I realize the title is inconsistent on the forum page), instead I am now trying to do part i) here
Is it possible to it this way:
Or is the structure of the question meaning my lecturer wants the actual ideals, and not just a general form? If so, how do i find which ideals contain 6.
I know the general form is
a = paqbrc
Whre a is an element of {0,1,2}, and b,c are an element of {0,1}
So there are 9 different combinations I think, do I have to check all 9? Or do all 9 have this property and there is no need to check?
Thanks
Edited original question since I have now found the answer (I realize the title is inconsistent on the forum page), instead I am now trying to do part i) here
Is it possible to it this way:
Or is the structure of the question meaning my lecturer wants the actual ideals, and not just a general form? If so, how do i find which ideals contain 6.
I know the general form is
a = paqbrc
Whre a is an element of {0,1,2}, and b,c are an element of {0,1}
So there are 9 different combinations I think, do I have to check all 9? Or do all 9 have this property and there is no need to check?
Thanks
Last edited: