Let R be acommutative ring and let b be a fixed element of R. Prove that the set b = {r is in R and r = cb for some element c in R} is an ideal of R.
Follow Math Help Forum on Facebook and Google+
Originally Posted by wvlilgurl Let R be acommutative ring and let b be a fixed element of R. Prove that the set b = {r is in R and r = cb for some element c in R} is an ideal of R. Define . To show is an ideal of you need to show if then , and also that if then . These should be clear by definition.
View Tag Cloud