Mathematics
GATE MA concept:quotient-rings PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:quotient-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 1–3 of 3. Imported answers require independent review unless marked reviewed.
Question 36
Open questionMAMCQ2 marksNeeds review
Let
denote the ring of polynomials in
with real coefficients. Then, the quotient ring
isYour answerChoose one option.
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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 38
Open questionMANAT2 marksNeeds review
Let
be the ring of polynomials over
. Then the total number of maximal ideals in the quotient ring
equals ________.Log in to check the answer
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