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$I/N$ is finitely presented module

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