2 problems

Open null ideal conjecture for small profinite rings
Null ideal conjecture. A small profinite ring has an open null ideal.
openprofinite-rings ring-theory
0 responses
03
Nilpotence conjecture for the Jacobson radical of small profinite rings
Nilpotence conjecture. The Jacobson radical $J(R)$ is nilpotent. In particular, $R$ has an open nilpotent ideal.
openjacobson-radical profinite-rings ring-theory
0 responses
06

Open null ideal conjecture for small profinite rings