ON COVERS OF ACTS OVER SEMIGROUPS

Naghipoor, M. Ershad · 2014

Let S be a monoid and X a class of S-acts which is closed under coproducts. The object of this article is to find conditions under which all S-acts have X-precovering. We have shown that the existence of torsion-free precovering implies the existence of torsion-free covering. This work is an attempt to further facilitate the study of the conjecture that all S-acts have flat cover.

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