Pseudo PQ-injective systems over monoids
Abstract
The purpose of this paper isto 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 generalizationare discussed. Some of these properties are analogous to that notion of pseudo principally quasi injective class of general modules. Sufficient conditions are given for pseudoprincipally quasi injective S-systems to beprincipally quasi-injectiveand pseudo quasi principally injective S-systems. Characterizations of pseudo principally quasi injective S-systems are considered.
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