Why zero element is said divisor of zero in a ring?
Added by Vicente B.
Step 1
In a ring, an element a is said to be a divisor of zero if there exists a non-zero element b such that ab = 0 (where 0 is the additive identity element of the ring). Now, let's consider the zero element of a ring, denoted by 0. For any element a in the ring, we Show more…
Show all steps
Close
Your feedback will help us improve your experience
Nicole Smina and 51 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Explain why the set of integers ℤ is not a field, even though it is a commutative ring.
Vincenzo Z.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD