# Rings of Krull dimension one

I have to write a monograph about commutative rings with Krull dimension $1$, but I can't find results, so I am looking foward for some references, and some results to search. Also, I would appreciate a lot to know if there is some result of the kind:

$$\dim(A)=1 \iff ~?$$

• I'm afraid there is no such characterisation. A discrete valuation ring has dimension one, and there's a characterisation of Dedekind domains in terms of dimension (among other properties). – Bernard Jun 16 '16 at 22:20
• This is way too broad. Maybe make some further assumptions like noetherian domains of Krull dimension 1. – MooS Jun 17 '16 at 9:03