let $R$ a commutative ring and $N = Nil(A)$ is a prime divided ring ,eg, If $I$ is a ideal of R then  $I \subseteq N$ or  $N \subseteq I$. My question is : if $I/N$ is a finitely presented ideal of $R/N$ then $I$ is finitely presented ideal of $R$.
thnx in advance for your answer