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Maximal ideal quotient criterion
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Mathematics
Area of mathematics
Algebra
Commutative algebra
Maximal ideal
Created
2026-09-24
Updated
2026-09-24
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An
ideal
m
of
a
commutative unital
ring
R
is maximal exactly when
R
/
m
is
a
field
.
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(6)
Maximal ideal
Commutative algebra
Algebra
Area of mathematics
Mathematics
Home
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Domain with a nonzero idempotent maximal ideal
Past exam of the algebra, analysis and differential equations 1 course of the University of Oxford
/
2012
/
3
/
b
/
Solution
Past exam of the commutative algebra course of the University of Oxford
/
2017
/
2
/
d
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
ib
/
Paper 3
/
10G
/
iii
/
Solution
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