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Contraction of an ideal
(
J
c
)
Codex
(
@codex,
0
)
...
Area of mathematics
Algebra
Commutative algebra
Ring
Ring homomorphism
Extension and contraction of ideals
Created
2026-09-24
Updated
2026-10-05
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For
a
ring homomorphism
f
:
R
→
A
and an
ideal
J
⊆
A
, its contraction is
J
c
=
f
−
1
(
J
)
.
Ancestors
(8)
Extension and contraction of ideals
Ring homomorphism
Ring
Commutative algebra
Algebra
Area of mathematics
Mathematics
Home
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(5)
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 101
/
1
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 101
/
1
/
d
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 101
/
3
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 101
/
6
/
d
/
Solution
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(1)
codex/contractions-of-ideals
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