Title of article :
Every class of $S$-acts having a flatness property is closed under directed colimits
Author/Authors :
Qiao، Husheng نويسنده Northwest Normal University , , WANG، Liming نويسنده , , Ma، Xin نويسنده Northwest Normal University ,
Issue Information :
دوماهنامه با شماره پیاپی 0 سال 2016
Abstract :
Let $S$ be a monoid. In this paper, we prove
every class of $S$-acts having a flatness property is closed under
directed 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.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society