2-regular modules II

الملخص EN

An R-module M is called a 2-regular module if every submodule N of M is 2-pure submodule, where a submodule N of M is 2-pure in M if for every ideal I of R, I2mN = I2N, [1].

This paper is a continuation of [1].

We give some conditions to characterize this class of modules, also many relationships with other related concepts are introduced.