Talk:Primitive element theorem

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 Field:  Algebra

With all due respect to Emil Artin, there were treatments of field theory before him, and after him. I have therefore added a reference to clarify the history. I have also rearranged the article and added some considerations about being constructive. Charles Matthews (talk) 11:37, 17 April 2010 (UTC) I do not understand the phrase "in this situation". A transcedental extension with primitive element x say or a transcendental number does not allow every element to be expressed as a poynomial in the primitive element as the article seems to say. Bukovets (talk) 11:46, 19 February 2011 (UTC)

Merge with (or from) simple extension[edit]

It seems to me that the two articles, this one and "simple extension" cover the same materials to very large extent; thus, some form of merger would make sense. I'm not sure about the direction of merger. While "simple extension" is a broader concept, the title of this article is very common. -- Taku (talk) 19:30, 18 April 2013 (UTC)

Correction needed[edit]

As "Bukovets" pointed out above, there seems to be a mistake in the current article (under "terminology"). In the simple extension F(x) it is not necessarily the case that every element can be presented as a polynomial in x with coefficients from F (i.e. when x is transcendental over F). 217.255.103.87 (talk) 20:45, 3 August 2013 (UTC)

Correction provided[edit]

Addressed "Bukovets" 's correct concern by removing the example of a transcendental/indeterminate extension. Ncsinger (talk) 16:04, 25 May 2016 (UTC)