![SOLVED: Let R be a commutative ring with identity and S ∈ R a multiplicative set with 0 ∈ S. If I ⊆ R is an ideal, show that S⠻¹I = SOLVED: Let R be a commutative ring with identity and S ∈ R a multiplicative set with 0 ∈ S. If I ⊆ R is an ideal, show that S⠻¹I =](https://cdn.numerade.com/ask_images/875424ba062f417dbe6e9eb11e8d4ddb.jpg)
SOLVED: Let R be a commutative ring with identity and S ∈ R a multiplicative set with 0 ∈ S. If I ⊆ R is an ideal, show that S⠻¹I =
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![SOLVED: Set R = Z[i], the ring of Gaussian integers, and let F be its field of fractions. Demonstrate that f(r) = r + (1+i)rt + (1 - i)r² + 2ix² + ( SOLVED: Set R = Z[i], the ring of Gaussian integers, and let F be its field of fractions. Demonstrate that f(r) = r + (1+i)rt + (1 - i)r² + 2ix² + (](https://cdn.numerade.com/ask_images/6976430a9d294cdd99f68e5b1bd3386d.jpg)