Homework SourseQUESTION 2 Which of the following are integral domains Solut
Solution
Solution :
Q(2) = {a + b2 | a, b Q } and Z[3] = { a + b3 | a, b Z } are integral domains.
Q(2) = {a + b2 | a, b Q } is precisely the ring that we denoted by Q[2]. Q[2] is a subring of R and, in fact, that it is a field.
The ring R = Z[3] = { a + b3 | a, b Z }. It is indeed a subring of R.
![QUESTION 2 Which of the following are integral domains? SolutionSolution : Q(2) = {a + b2 | a, b Q } and Z[3] = { a + b3 | a, b Z } are integral domains. Q(2)](/WebImages/27/question-2-which-of-the-following-are-integral-domains-solut-1073736-1761562851-0.webp "QUESTION 2 Which of the following are integral domains? SolutionSolution : Q(2) = {a + b2 | a, b Q } and Z[3] = { a + b3 | a, b Z } are integral domains. Q(2)")
