In this talk we review some of recent works cosigner clean and pretty clean modules. We show that if $I$ is a monomial ideal in polynomial ring $S=K[x_1,...,x_n]$, then $S/I$ is (pretty)clean if $I$ is almosi complete intersection, Cohen-Macaulay of codimension 2, Gorenstien of codimension 3,monomial ideal of forest type or it has at most 3 generatore.
