on 2-absorbing semiprimary submodules

In this paper, we introduce the concept of 2-absorbing semiprimary submodules in modules over a commutative ring with nonzero identity which is a generalization of 2-absorbing primary submodule. let n be a proper submodule of an r-module m. then n is said to be a 2-absorbing semiprimary submodule of m if whenever a1a2 ∈ r, m ∈ m and a1a2m ∈ n, then a1a2 ∈ (n :r m) or a1m ∈ n or an 2 m ∈ n, for some positive integer n. we have given an example and proved number of results concerning 2-absorbing semiprimary submodules.