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Let R be a ring with 1 0. Prove or disprove: (a) if R has no ideals other than {0} and R, then R is a field;

Let R be a ring with 1 0. Prove or disprove: (a) if R has no ideals other than {0} and R, then R is a field;

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Abstract Algebra: I already know that this is not true, but I need a counterexample.

4. Let R be a ring with 1 0. Prove or disprove: (a) if R has no ideals other than {0} and R, then R is a field;
Transcribed Image Text:4. Let R be a ring with 1 0. Prove or disprove: (a) if R has no ideals other than {0} and R, then R is a field;
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