  Noetherian rings have played a fundamental role in commutative algebra,
algebraic number theory, and algebraic geometry. Along with their dual,
Artinian rings, they have many generalizations, including the notions of
isonoetherian and isoartinian rings. In this paper, we prove that the Krull
dimension of every isoartinian ring is at most one. We then use this result to
provide a characterization of isoartinian rings. Specifically, we prove that a
ring $R$ is isoartinian if and only if $R$ is uniquely isomorphic to the direct
product of a finite number of rings of the following types: (i) Artinian local
rings; (ii) non-Noetherian isoartinian local rings with a nilpotent maximal
ideal; (iii) non-field principal ideal domains; (iv) Noetherian isoartinian
rings $A$ with $\Min A$ being a singleton and $\Min A \subsetneq \Ass A$; (v)
non-Noetherian isoartinian rings $A$ with $\Min A$ being a singleton and $\Min
A \subsetneq \Ass A$; (vi) non-Noetherian isoartinian rings $A$ with a unique
element in $\Min A$ that is not maximal, and $\Min A=\Ass A$. Several examples
of these types of rings are also provided.
