4 problems

Krull-dimension conjecture. The inequality

Hereditary atomicity conjecture. Every hereditarily atomic domain satisfies the ACCP.

Let Figure $1$ be the directed diagram of implications among unique factorization domains, atomic domains, semi-atomic domains, almost atomic domains, quasi-atomic domains, Fursten…

Let the classes of rings in Figure $1$ be the unique factorization domains, atomic domains, semi-atomic domains, almost atomic domains, quasi-atomic domains, Furstenberg domains, s…