New posts in Positive Characteristic

Peirce decomposition of a ring: must the ideal generators be idempotent in characteristic 2?

$x^p-x+a$ irreducible for nonzero $a\in K$ a field of characteristic $p$ prime

Show that $f(x) = x^p -x -1 \in \Bbb{F}_p[x]$ is irreducible over $\Bbb{F}_p$ for every $p$.

Problem in Jacobson's Basic Algebra (Vol. I)

How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?

Are Chow groups invariant under universal homeomorphisms?

Nakano vanishing in positive characteristic

Biggest Field Of Characteristic $p$

When is the etale cohomology of $\mathrm{Sym}^n(X)$ isomorphic to the $\Sigma_n$-invariants in the étale cohomology of $X^n$?

Cotangent complex of perfect algebra over a perfect field