on φ-primal submodules

let r be a commutative ring with 1≠0 and m be s unitary r- module. assume φ: s(m)→be a s(m) ∪{φ} be a function, where s(m) is the set of all submodules of m. a proper submodule n of m is a φ-primal submodule provided that the set p=t (n)∪{0} forms an ideal of r. here t(n) is the set of elements of r that are not φ-prime to n if rm єn\φ(n) for some mєm\n. in this paper we give some basic results about φ-primal submodules. ams subject classification 2010: 13a15, 13f05, 13g05