Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Algebra Integral Domain & its types
Let R = Z[√-5] be the ring consisting of all numbers of the form a + b√-5, where a and b are integers. Which of the following statements is true?
1
R is an integral domain because it has no zero divisors.
2
R is not an integral domain because it does contain zero divisors.
3
R is an integral domain because every non-zero element has a multiplicative inverse.
4
R is not an integral domain because the distributive property fails.
5
Question Not Attempted