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Fields of characteristic $p$, i.e., fields for which there is a prime $p$ such that $px=0$ for each $x$. Do not use this tag for questions on characteristic polynomials of a matrix.

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Do regular (but non-smooth) conics over a discretely valued field of characteristic $2$ admi...

In general this isn't possible. The material that follows is a bit technical, but I do not have the time to explain all the details here now. Suppose that $a, b \in T$ and that $a, b$ become squares …
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