if R is a ring, I an ideal of R, and S a multiplicative subset of R, then S^{-1}I is an ideal of S^{-1}R, and we have S^{-1}R/S^{-1}I = \overline{S}^{-1}(R/I), where \overline{S} is the image of S in R/I,
if R is a ring, I an ideal of R, and S a multiplicative subset of R, then S^{-1}I is an ideal of S^{-1}R, and we have S^{-1}R/S^{-1}I = \overline{S}^{-1}(R/I), where \overline{S} is the image of S in R/I,
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