GATE MA · 2019 · MA
Question 35: Algebra
Give it a try, then reveal the answer to check your work.
Question 35
MAMCQ2 marksNeeds review
Consider the following statements:
I. The ring
is a unique factorization domain.II. The ring
is a principal ideal domain.III. In the polynomial ring
, the ideal generated by
is a maximal ideal.IV. In the polynomial ring
, the ideal generated by
is a prime ideal.(
denotes the set of all integers,
denotes the set of all integers modulo
, for any positive integer
)Which of the above statements are TRUE?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerEXPLORE & PRACTISE
Paper and topic context
See where this question comes from and choose what to practise next.
2019MA
GATE MA 2019 · Paper 1
Mathematics · Original paper archive
- Section
- Mathematics
- Question type
- Multiple choice (MCQ)
- Marks
- 2 marks
Practise related topics
Explore more previous year questions using this question’s imported topic tags.
mathematics
GATE MA previous year questions
mathematical sciences
GATE MA previous year questions
statistics
GATE MA previous year questions
algebra
GATE MA previous year questions
maximal ideals
GATE MA previous year questions
unique factorization domains
GATE MA previous year questions
principal ideal domains
GATE MA previous year questions
polynomial rings
GATE MA previous year questions
Comments
Ask a question, share your approach, or help someone understand.
Log in to view the discussion
You’re not logged in. Log in or create an account to see discussions and add comments.