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In: Advanced Math

Give an example of a ring homomorphism f:R -> S where M is a maximal ideal...

Give an example of a ring homomorphism f:R -> S where M is a maximal ideal of R but M^e is not a maximal ideal of S

note that I^e - is the extension notation f(I)S generated by f(I) as the entension of R, a commutative ring

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