Mathematics · Abstract Algebra
The ring R = (ℤ17[i], +, ·), where i2 = -1, is categorized as which of the following?
- 1an integral domain but not a unique factorization domain
- 2a unique factorization domain but not a principal ideal domain
- 3a principal ideal domain but not an Euclidean domain
- 4a ring but not an integral domain✓
Correct answer
a ring but not an integral domain
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