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Noetherianity of a quadratic integer order
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Words: 59
Articles: 1
For a nonsquare integer
d
,
Z
[
d
]
≅
Z
[
X
]
/
(
X
2
−
d
)
.
(175)
The integers are Noetherian, the Hilbert basis theorem makes
Z
[
X
]
Noetherian, and quotients preserve Noetherianity.
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Nonprincipal ideal in the integers adjoined a square root of minus five
Noetherianity of a quadratic integer order
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Noetherian ring
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