STRONGLY S-DENSE MONOMORPHISMS

Letmbe a class of (mono)morphisms in a category a.to study mathematical notions, such as injectivity, tensor productsand atness, one needs to have some categorical and algebraic in-formation about the pair (a,m). in this paper we take a to be thecategory act-s of s-acts, for a semigroup s, and msd to be theclass of strongly s-dense monomorphisms and study the categoricalproperties, such as limits and colimits, of this class.