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Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 160
/
3
/
b
/
ii
/
Solution
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2023
iii
Paper 160
3
b
ii
2026-09-28
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False. Let
λ
=
(
3
)
,
e
=
2
, and
f
=
3
. Then
C
2
(
C
3
(
λ
))
=
C
2
(
∅
)
=
∅
,
C
3
(
C
2
(
λ
))
=
C
3
((
1
))
=
(
1
)
.
(1)
Thus core operations for different moduli need not commute.
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ii
b
3
Paper 160
iii
2023
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
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