Strongly s-dense monomorphism

Abstract

LetMbe a class of (mono)morphisms in a category A.
To study mathematical notions, such as injectivity, tensor products
and
atness, one needs to have some categorical and algebraic in-
formation about the pair (A,M). In this paper we take A to be the
category Act-S of S-acts, for a semigroup S, and Msd to be the
class of strongly s-dense monomorphisms and study the categorical
properties, such as limits and colimits, of this class.