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Morphism of algebras for a monad
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Mathematics
Area of mathematics
Foundations of mathematics
Category theory
Monad
Algebra for a monad
Created
2026-09-28
Updated
2026-10-06
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A
morphism
f
:
(
A
,
a
)
→
(
B
,
b
)
of
algebras
for
a
monad
satisfies
f
a
=
b
T
(
f
)
. Such
morphisms
are the
morphisms
of the
Eilenberg-Moore category
.
Ancestors
(7)
Algebra for a monad
Monad
Category theory
Foundations of mathematics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2001
/
iii
/
Paper 17
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9
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iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2001
/
iii
/
Paper 17
/
9
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2005
/
iii
/
Paper 26
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2010
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iii
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Paper 21
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4
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2012
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iii
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Paper 25
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6
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a
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Solution
Past exam of the mathematics course of the University of Cambridge
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2013
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iii
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Paper 18
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6
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a
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Past exam of the mathematics course of the University of Cambridge
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2014
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iii
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Paper 18
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6
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a
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Solution
Past exam of the mathematics course of the University of Cambridge
/
2014
/
iii
/
Paper 18
/
6
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
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iii
/
Paper 22
/
6
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a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
iii
/
Paper 119
/
4
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 119
/
4
/
ii
/
Solution
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(2)
codex/monad-algebra-morphism
codex/morphisms-of-algebras-for-a-monad
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