Weak precovering of acts over semigroups
Mohammad Ali Naghipoor, M. Ershad · Asian-European Journal of Mathematics · 2015
Let S be a monoid and [Formula: see text] a class of [Formula: see text]-acts which is closed under coproducts. The object of this paper is to find conditions under which all [Formula: see text]-acts have [Formula: see text]-precovering, especially when [Formula: see text] is the class of injective (C-injective) acts. We have shown that the existence of injective precovering over Noetherian monoids implies the existence of injective covering. This work is an attempt to further facilitate the study of the conjecture that all [Formula: see text]-acts have flat cover.