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
I be ideal of R.
Then I is primary
if and only if
every invertible in
R/I is a nilpotent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa94b6ca9-1b3f-4b2e-b40a-72d2ad72c159%2F4d8ee095-0a29-4f1b-84bb-12f71d7a0299%2F8ahrww_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let R be a
commutative ring
with identity and
I be ideal of R.
Then I is primary
if and only if
every invertible in
R/I is a nilpotent.
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