Quasi Principally Injective Acts
Closed Quasi Principally Injective Acts
Closed Self Principally Injective Monoid
Continuous Acts
Extending Acts
Generalization of Quasi Principally injective acts
AMS Subject Classification: 20M30
20M99
08B30
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The concept of closed quasi principally injective acts over monoids is introduced ,which signifies a generalization for the quasi principally injective as well as for the closed quasi injective acts. Characterization of this concept is intended to show the behavior of a closed quasi principally injective property. At the same time, some properties of closed quasi principally injective acts are examined in terms of their endomorphism monoid. Also, the characterization of a closed self-principally injective monoid is given in terms of its annihilator. The relationship between the following concepts is also studied; closed quasi principally injective acts over monoids, Hopfian, co Hopfian, and directly finite property. Ultimately, based on
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