SMALL PSEUDO QUASI PRINCIPALLY INJECTIVE ACTS

In act theory, Pseudo injective acts and their generalizations are essential. As a result, the purpose of this work is to give generalization pseudo quasi principally specifically small acts. Besides, concept was presented, which can be employed later. If each S-monomorphism from M-cyclic sub-act M\textsubscript{S} N\textsubscript{S} extended S-homomorphism N\textsubscript{S}, An S-act called pseudo-M-principally-injective (for simply pseudo-MP-injective). Also, if an pseudo-MP-injective act, then it injective. This form given several new characterizations properties. Following that conditions shown under sub inherit property injectivity. Furthermore, connection between classes S-acts with injectivity addressed, as requirements coincide these shown. Our work's conclusions have been explained.