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?
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?
1)First prove
2)Define by
3)Prove is well-defined.
4)Prove is one-to-one.
5)Prove is a ring homorphism.