What is an integral domain?
Understand the Problem
The question is asking for a definition or explanation of what an integral domain is, particularly in the context of mathematics and algebra.
Answer
A nonzero commutative ring with no zero divisors.
An integral domain is a nonzero commutative ring with no zero divisors.
Answer for screen readers
An integral domain is a nonzero commutative ring with no zero divisors.
More Information
An integral domain has the property that the product of any two nonzero elements is nonzero, effectively meaning that it lacks zero divisors.
Tips
A common mistake is to assume any commutative ring is an integral domain. Ensure the ring contains no zero divisors.
Sources
- Integral domain - Wikipedia - en.wikipedia.org
- What is an Integral Domain? - Mathematics Stack Exchange - math.stackexchange.com
- Mathematics | Rings, Integral domains and Fields - GeeksforGeeks - geeksforgeeks.org
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