Let I1, I2 be ideals of R and J1, J2 be ideals of S. Show that...

Let I1, I2 be ideals of R and J1, J2 be ideals of S. Show that (I1 + I2)^extension= I1^extension + I2^extension where I1, I2 are contained in R

|^e is defined as the extension of I to S: Let R and S be commutatuve ring and f:R to S be a ring homomorphism. For each ideal I of R, the ideal f(I)S of S generated by f(I) is the extension of I to S.

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I've shown both side contentments.

Colby Messinger answered 2 hours ago

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