Principally Quasi injective system over monoid

Shaymaa Amer · JOURNAL OF ADVANCES IN MATHEMATICS · 2015

In this work , principally quasi injective system has been introduced and studied , which is a generalization of quasi injective system . We obtain a characterizations of PQ-injective systems , conditions on which, subsystems inherit the property of PQ-injectivity , and conditions have been considered to versus PQ-injective system. Finally , the relationship between maximal reversible subsystem of system and maximal left ideal of the endomorphism monoid of the system has been studied .

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