Q6: Let R=(Z,+, .). Find a) Characteristic of R b) Prime ideals of R c) Nilpotent elements of R d) Idempotent element of R e) Is R a field?Why?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 18E
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Q6: Let R=(Z,+, .). Find
a) Characteristic of R b) Prime ideals of R c) Nilpotent elements of R
d) Idempotent element of R e) Is R a field?Why?
Transcribed Image Text:Q6: Let R=(Z,+, .). Find a) Characteristic of R b) Prime ideals of R c) Nilpotent elements of R d) Idempotent element of R e) Is R a field?Why?
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