In commutative algebra we have the following version of Nakayama's Lemma(also calle NAK lemma):
NAK Lemma:
Let $R$ be a local ring and $\mathbf m$ be the unique maximal ideal of $R$.Let $M$ be a finitely generated $R$-module and $I\subset \mathbf m$ be an ideal of $R$ such that $IM=M$.Then $M=0$.
Another version is also useful sometimes:
NAK Lemma: (Version $2.0$)
Let $M$ be finitely generated $R$-modules where $(R,\mathbf m)$ is a local ring and $N$ be an $R$-submodule of $M$ such that there exists $I\subset \mathbf m$ ideal of $R$ such that $M+IN=M$,then $M=N$.
Now it often happens that the situations for application of Nakayama's lemma is not Tailor-made and we have to identify a way so that we can make the situation required verbatim to use Nakayama's lemma.To be more precise my question is what are the signs I should look for,in order to get a hint that I have to use NAK lemma.This question is quite broad ended.I am not very experienced with NAK lemma and commutative algebra stuff.So,still situations of NAK lemma may not ring a bell,if the situation is not Tailor-made(i.e.if the ground for directly applying the theorem is not set already).Can anybody help me with understanding this thing better so that I can appreciate NAK lemma better and I can also apply NAK lemma in suitable situations while solving problems or doing algebra.