Answered: Let R be a commutative ring with…

Let R be a commutative ring with identity and let I be a proper ideal of R. Prove that R/I is a commutative ring with identity.

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 35E: Let R be a commutative ring with unity whose only ideals are {0} and R Prove that R is a...

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Let R be a commutative ring with identity and let I be a proper ideal of R. Prove that R/I is a commutative ring with identity.

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