Suppose a and b belong to a commutative ring and ab is a zero-divisor. Show that...

90.2K

Verified Solution

Question

Advance Math

Suppose a and b belong to a commutative ring and ab is azero-divisor. Show that either a or b is a zero-divisor. provideexplanation please.

Answer & Explanation Solved by verified expert
4.2 Ratings (659 Votes)
Recall the following defintionsLet be a ringi is called commutative if ii An element is called a zero divisor    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students