Mathematics
GATE MA concept:polynomial-rings PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:polynomial-rings
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–2 of 2. Imported answers require independent review unless marked reviewed.
Question 18
Open questionMANAT1 markNeeds review
Let
be the ideal generated by
in the polynomial ring
, where
denotes the ring of integers modulo 3. Then the number of units in the quotient ring
is ______.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 answerQuestion 35
Open questionMAMCQ2 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
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