الحلقيات الكاذبة الأغمار من نوع WP

In this work, the notion of pseudo-injectivity relative to a class of semi simple sub modules (namely, WP-M- injectivity) has been introduced and studied, which is a generalization of pseudo-injective module. This notion is closed under direct summands. Several properties and characterizations have been given. We provide a characterization of semi simple Artinian ring, SSI-ring in terms of WP-injective R- modules.