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Answers for “你能给出环局部化的例子吗?”

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The total ring of fractions is the localization S−1RS^{-1}R where the multiplicatively closed set SS consists of all regular elements of the ring RR. Regular elements are those that are not zero divisors.

Conditions: RR is a commutative ring.; SS is the set of all regular elements of RR (elements that are not zero divisors).