Castelnuovo's theorem: Difference between revisions
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==Statement== | ==Statement== | ||
Any sub-extension of a [[purely transcendental extension]] of transcendence degree <math>2</math> is also a purely transcendental extension. | Any sub-extension of a [[fact about::purely transcendental extension]] of transcendence degree <math>2</math> is also a purely transcendental extension. | ||
==Related facts== | |||
* [[Lüroth's theorem]] | |||
Latest revision as of 23:09, 14 May 2009
Statement
Any sub-extension of a purely transcendental extension of transcendence degree is also a purely transcendental extension.
