TY - JOUR
ID - 764
TI - Every class of $S$-acts having a flatness property is closed under directed colimits
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Qiao, H.
AU - Wang, L.
AU - Ma, X.
AD - College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, P. R. China.
AD - College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, P. R. China.
Y1 - 2016
PY - 2016
VL - 42
IS - 2
SP - 341
EP - 351
KW - Flatness property
KW - colimit
KW - closed
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_764.html
L1 - http://bims.iranjournals.ir/article_764_8c92870856f42224b242cd3dc1feb5b5.pdf
ER -