Search Results for: Splitting machine tool
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polynomial ring over $k$, and $\{f_ ,\dots, f_n\}\subset a$ such that $k(x_ ,\dots, x_n)$ is algebraic over $k(f_ ,\dots,f_n)$, then is $\{f_ ,\dots f_n\}$ algebraically ... commutative-algebra field-theory extension-field asked hours ago chaosinferno bronze badges votes answers views proof that any splitting
field is a normal extension in order to prove that any splitting field is a normal extension i reasoned like this: consider a polynomial $f(x) \in k[x]$, $k$ a field of characteristic $p$, and let $e$ be its splitting field over ... abstract-algebra field-theory galois-theory extension-field asked yesterday...
https://math.stackexchange.com/questions/tagged/field-theory