Talk:Algebraic number
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This is a subject where it is easy to give examples- like sqrt(2) etc. Let me be the first to suggest this. And also what are not algrebraic numbers, i.e. transcendental numbers. I see there is an entry for this. Nevertheless, you could mention them on the algebraic number page and link. RoseParks
I've added some. -- Jan Hidders---- Lookin good...RoseParks
What do you call numbers which can be obtained from the integers by a finite series of additions, multiplications, divisions and root extractions? I know they are not algebraic numbers, since solutions to polynomials of degree five or higher cannot be obtained in this way, and yet they are by definition algebraic numbers. -- Simon J Kissane
An equation whose roots are numbers of the form you describe is said to be "solvable by radicals". My guess would be that the class of numbers would be the "radical expressions" or something, but I don't know. -- Carl Witty
I've been asking professors and others the same question and I suggest calling them solvable numbers. It's clearly a subfield. Richard Peterson
Looking at MathWorld - Algebraic Integer (http://mathworld.wolfram.com/AlgebraicInteger.html), I think there might be something wrong with the definition of algebraic integers here.
- QZ 13:55, 2004 Mar 19 (UTC)
Don't see it. Charles Matthews 15:26, 19 Mar 2004 (UTC)
I think you need to say that the coefficients are all integers. Otherwise, I can say 2/3 is an algebraic integer, because it's a solution of 1*x - 2/3 = 0, which is a monic polynomial. Not entirely sure, so not changed. Jonpin 08:26, Oct 1, 2004 (UTC)
Well, it says all the ai are integers at the top of the page; still applies. Charles Matthews 18:37, 1 Oct 2004 (UTC)
It doesn't anymore; it was changed on 4 Oct 2004. --RRM 06:43, 8 Mar 2005 (UTC)
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I added the links that made sense. Edward 00:24, 22 Dec 2004 (UTC)
Ring of Integers redirect
"Ring of Integers" currently redirects to this article, but I'm going to move it so it redirects to Ring (mathematics), which I consider a more suitable target. --Malcohol 09:49, 8 Jun 2005 (UTC)