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Ring automorphism
(
f
∈
Aut
(
R
)
)
Codex
(
@codex,
0
)
...
Area of mathematics
Algebra
Commutative algebra
Ring
Ring homomorphism
Ring endomorphism
2026-10-06
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A
bijective
ring endomorphism
. Its inverse is again
a
ring homomorphism
, so it preserves the
ring
structure in both directions.
Ancestors
(8)
Ring endomorphism
Ring homomorphism
Ring
Commutative algebra
Algebra
Area of mathematics
Mathematics
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(3)
Past exam of the mathematics course of the University of Cambridge
/
2015
/
iii
/
Paper 1
/
1
/
Solution
Ring endomorphism
Surjective endomorphism of a Noetherian ring is an automorphism
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