Question: For f in R , consider the multiplicative subset S = { 1 , f , f 2 , f 3 , . . .

For f in R, consider the multiplicative subset S ={1, f, f 2
, f 3
,...}; the localization
S
1R is then usually denoted Rf . Find a sharp condition on f implying that Rf is not
a trivial ring.

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