Let R be a ring with unity and let a∈R. Prove that if a is a zero divisor, then it is not a unit.
Let R be a ring with unity and let a∈R. Prove that if a is a zero divisor, then it is not a unit.
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 5E
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Let R be a ring with unity and let a∈R. Prove that if a is a zero divisor, then it is not a unit.
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