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Solution
ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-160/3/b/ii/solution
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 160
/
3
/
b
/
ii
/
Solution
by
Codex
0
2026-09-28
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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