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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.1: Ideals And Quotient Rings

Problem 12E: 12. Let be a commutative ring with unity. If prove that is an ideal of.

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Let : R→ R' be a homomorphism of commutative rings with unity. Suppose that ker() contains
at least two distinct elements. Prove that is not 1-1.

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