This paper concerned with basic concepts and some results on idempotent m-normal commutative semigroup satisfying the identities of the three variables.This is used to frame some structure for m normal commutative semigroups,here we consider the semigroup satisfying some properties of m normal commutative semigroup,left quasi normal and right quasi normal.If it is right and left rectangular then it is semilattice.

Keywords : Residents in Public Housing in Karary Locality, The Social Impact of HCF on Sudan Citizens, Single-Family Public Housing.