لیلا شهباز

Abstract. In this paper, after introducing the category PosAct-S of all poset acts; an S-act in the category Pos, with action preserving monotone maps between them, we study some categorical properties of the category PosAct-S. In particular, we describe products and coproducts in these categories. Also, several kinds of epimorphisms and monomorphisms are characterized in PosAct-S.