(0) 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. От O F O O *

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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(0) 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.
От
OF
Transcribed Image Text:(0) 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. От OF
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