# Math Help - Field Extensions

1. ## Field Extensions

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2. Originally Posted by dabien
Suppose we have finite field extensions $B$ and $K$ of $F$ of respective degrees $m$ and $n$, all contained in some larger field $E$. Prove that a domain which is a finite dimentional algebra over a field must be a field, so $B \otimes K$ will be a field if it has no zero divisors.
i proved this for you in here: http://www.mathhelpforum.com/math-he...-algebras.html. you're posting the same questions that already asked and were answered??