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This paper is devoted to study the 2-absorbing preradicals and 2-absorbing submodules. We investigate some relations between the concept of 2-absorbing preradicals and 2-absorbing submodules using the lattice structure of preradicals.
In this paper, we define the concept of "co-2-absorbing" for preradicals and submodules. Also, we investigate the relationship between co-2-absorbing preradicals and co-2-absorbing submodules.