Let R be a commutative ring with unity u. a) For any (fixed) a R, prove
Question:
a) For any (fixed) a ∈ R, prove that aR = {ar| r ∈ R] is an ideal of R.
b) If the only ideals of R are {z} and R, prove that R is a field.
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a a au aR so aR If ar 1 ar 2 aR then ar 1 ar 2 ar 1 ...View the full answer
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Related Book For 
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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