This paper explores generalized hyper S-acts (GHS-acts) over a hypermonoid S as
generalizations of monoid acts within the context of algebraic hyperstructures. Specifically …

In this paper, we explore the concept of topologically dense injectivity of monoid acts. It is
shown that topologically dense injective acts constitute a class strictly larger than the class of …

In this paper, cogenerating classes of $ S $-acts are introduced as those that can be used to
cogenerate $ S $-acts in an appropriate sense. Next, finitely cogenerated $ S $-acts are …

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 …

In this paper, we study composition series of subacts or congruences of S-acts. It is shown
that composition series of subacts are exactly those that are both Rees artinian and Rees …

An S-act A over a semigroup S is called strongly noetherian if it satisfies the ascending chain
condition on its congruences. This is equivalent to being finitely generated of each …

Any notion of purity is normally defined in terms of solvability of some set of equations. To
study mathematical notions, such as injectivity, tensor products, flatness, one needs to have …