suppose R be a commutative ring and P be a prime ideal of R. Then is S=R-P (the complement of P in R) closed under addition?

regards. thanks.

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- December 3rd 2011, 11:20 AMsorv1986Is R-P closed under addition?
suppose R be a commutative ring and P be a prime ideal of R. Then is S=R-P (the complement of P in R) closed under addition?

regards. thanks. - December 3rd 2011, 03:56 PMDrexel28Re: Is R-P closed under addition?
- December 5th 2011, 10:29 PMsorv1986Re: Is R-P closed under addition?
- December 5th 2011, 10:37 PMDrexel28Re: Is R-P closed under addition?