فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we introduce cogenerating classes of $S$-acts as those that can be used to cogenerate $S$-acts in an appropriate sense. Next, finitely cogenerated $S$-acts are characterized by the property that their socle is finitely cogenerated and large in the $S$-act. Further, we investigate the $S$-acts cogenerating $S_S$, or  generating the injective envelope $E(S)$ of $S_S$.  This leads us to introduce the classes of  cofaithful and subgenerator $S$-acts as the dual notions of faithful $S$-acts, which  lie strictly between the classes of generator and faithful $S$-acts. Ultimately, we study relations between the cogenerating classes, finitely cogenerated $S$-acts, and the recently introduced new classes of $S$-acts.