all rings are associative with $1\not = 0$. a ring $a$ is decomposable if $a=a_{1}\times a_{2}$, otherwise $a$ is indecomposable. we consider three types quivers of rings: gabriel quiver, prime quiver and pierce quiver. gabriel quiver and pierce quiver are defined for semiperfect rings. let $a$ be an associative ring with the prime radical $pr(a)$. the factorring $\bar{a} = a/pr(a)$ is called the diagonal of $a$. we say that a ring $a$ is a $fd$-ring if $\bar{a}$ is a finite direct product of indecomposable rings. we define the prime quiver of $fd$-ring with $t$-nilpotent prime radical. we discuss the properties of rings and its quivers, for example, a right noetherian semiperfect ring is semisimple artinian if and only if its gabriel quiver is a disconnected union of vertices (without arrows).