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).