4 problems

Schröer's ordinal conjecture.

Schröer's domesticity conjecture. $A$ is tame domestic if and only if

Schröer's conjecture. The Krull–Gabriel dimension of $R$ equals

Krull–Gabriel dimension conjecture. The Krull–Gabriel dimension of $\operatorname{Ab}(\operatorname{per} A)$ equals $0$ or $1$ if and only if $\operatorname{per} A$ is a discrete d…