- #1
Chen
- 977
- 1
Given a commutative ring R with a unit, how do you prove that the product of two ideals, I1 and I2, is also an ideal?
The product of course is defined to be {x*y | x in I1, y in I2}, where * is the multiplication in the ring R.
I'm having trouble proving that I1*I2 is a group under addition.
Thanks,
Chen
The product of course is defined to be {x*y | x in I1, y in I2}, where * is the multiplication in the ring R.
I'm having trouble proving that I1*I2 is a group under addition.
Thanks,
Chen