TY - JOUR AU - Shaymaa Amer AU - M.S. Abbas PY - 2015/06/20 Y2 - 2024/03/29 TI - Pseudo PQ-injective systems over monoids JF - Journal of Progressive Research in Mathematics JA - JPRM VL - 4 IS - 2 SE - Articles DO - UR - http://scitecresearch.com/journals/index.php/jprm/article/view/255 AB - The purpose of this paper is to introduce a new kind of generalization of principally quasi injective S-systems over monoids (PQ-injective), (and hence generalized quasi injective), namely pseudo principally quasi injective S-systems over monoids. Several properties of this kind of generalization are discussed. Some of these properties are analogous to that notion of pseudo principally quasi injective class of general modules. Sufficient conditions are given for pseudo principally quasi injective S-systems to beprincipally quasi-injective and pseudo quasi principally injective S-systems. Characterizations of  pseudo principally quasi injective S-systems are considered. ER -