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Reduction modulo an ideal
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Mathematics
Area of mathematics
Algebra
Commutative algebra
Ring
Ideal
Created
2026-09-24
Updated
2026-09-24
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Reduction
modulo
an
ideal
I
is the
quotient
homomorphism
R
→
R
/
I
.
Table of contents
Quotient ring
Reduction modulo an ideal
Quotient ring
(
R
/
I
)
0
1
0
Reduction modulo an ideal
For
a
two-sided ideal
I
of
a
ring
R
, the
quotient
R
/
I
has
addition
and
multiplication
induced from
R
.
Ancestors
(7)
Ideal
Ring
Commutative algebra
Algebra
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ii
/
Paper 2
/
20H
/
b
/
Solution
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