Pure-direct-injective modules

SK Maurya, S Das, Y Alagöz - Lobachevskii Journal of Mathematics, 2022 - Springer
In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

On Injectivity of Modules via Semisimplicity

TTH Nguyen - Kyungpook Mathematical Journal, 2022 - koreascience.kr
Abstract A right R-module N is called pseudo semisimple-M-injective if for any
monomorphism from every semisimple submodule of M to N, can be extended to a …