Let R and S be rings and let I ▹R, J ▹S be ideals. Prove that

I think

is of the form that is also of the form because of definition of addition.

This is the "cross set" .

Something tells me it can't be that simple. Can you tell me why?

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- Nov 1st 2008, 02:50 PMvincisonfireRing Isomorphism
Let R and S be rings and let I ▹R, J ▹S be ideals. Prove that

I think

is of the form that is also of the form because of definition of addition.

This is the "cross set" .

Something tells me it can't be that simple. Can you tell me why? - Nov 1st 2008, 06:18 PMThePerfectHacker
- Nov 2nd 2008, 03:57 AMvincisonfire
Aren't and always equal to zero in and .

The function maps everything to (0 , 0) = 0?