%0 Journal Article
%T Every class of $S$-acts having a flatness property is closed under directed colimits
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Qiao, H.
%A Wang, L.
%A Ma, X.
%D 2016
%\ 04/01/2016
%V 42
%N 2
%P 341-351
%! Every class of $S$-acts having a flatness property is closed under directed colimits
%K Flatness property
%K colimit
%K closed
%R
%X Let $S$ be a monoid. In this paper, we prove every class of $S$-acts having a flatness property is closed underdirected colimits, it extends some known results. Furthermore this result implies that every $S$-act has a flatness cover if and only if it has a flatness precover.
%U http://bims.iranjournals.ir/article_764_8c92870856f42224b242cd3dc1feb5b5.pdf