On an axiomatic description of weak purities in the category of modules

A class of purities that is a generalization of weak purity to the category of modules is studied. A one-to-one correspondence is established between these purities and certain classes of modules, and an intrinsic description of such purities is given, as well as the corresponding classes of modules. A description is also presented with the aid of sets of right ideals of a ring.
Bibliography: 10 titles.