Talk:Algebraic extension

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Mathematics rating:	Stub Class	Mid Priority	Field: Algebra
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Geometry guy 19:19, 21 May 2007 (UTC)

I believe Extension (Algebra) should be merged into the main topic Algebraic extension. I know that an extension and an algebraic extension are different things, but it would help those reading algebraic extension, if they knew what an extension was first, and simply linking it at the end of the piddly Extension_(Algebra) is more of a "Would you like to know more?" than a "See also." IMHO. Sim 01:58, 1 April 2006 (UTC)

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"If a is algebraic over K, then K[a], the set of all polynomials in a with coefficients in K, is a field."

Is this actually a field? What's the multiplicative inverse of a?