Talk:Field extension

Bases containing 1
Given a finite extension L/K, can a basis of L over K always be chosen to contain 1? I think so, because one can simply choose any element x from the basis and multiply all of the elements from the basis by x-1. GeoffreyT2000 (talk) 21:39, 24 May 2015 (UTC)

Introduction does not define or describe field extension
but extension fields — Preceding unsigned comment added by 134.101.128.146 (talk) 15:21, 20 September 2018 (UTC)
 * Good point. Fixed. D.Lazard (talk) 16:51, 20 September 2018 (UTC)

"Purely transcendental extension" listed at Redirects for discussion
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Move discussion in progress
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"Trivial extension" listed at Redirects for discussion
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