If A and B are both ideals, then A+B is an ideal. How can you show this?

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- January 19th 2010, 11:07 AMRyaηSum of Ideals
If A and B are both ideals, then A+B is an ideal. How can you show this?

- January 19th 2010, 11:09 AMSwlabr
- January 19th 2010, 11:27 AMRyaη
Is it anything like this?

For some ring R that has A and B as ideals.

and , then . Thus, . Therefore . - January 19th 2010, 11:43 AMSwlabr
- January 20th 2010, 07:08 PMRyaη
I think I got it. Thank you!