page1916 Rings Matthias Lorentzen...mattegrisenforlag.com
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Question
In the field `QQ(pi^3)`, consider the element
`alpha = a + b * pi^3`, where a and b are rational
numbers. Which of the following statements is true:
A) `alpha` is always algebraic over `QQ`, regardless
of the values of a and b.
B) `alpha` is transcendental over `QQ` for some,
but not all choises of a and b in `QQ`
?
