Hd. Hu et Jw. Pelletier, ON REGULAR MONOMORPHISMS IN WEAKLY LOCALLY PRESENTABLE CATEGORIES, Journal of pure and applied algebra, 116(1-3), 1997, pp. 163-168
Let k be an infinite regular cardinal. For any weakly locally k-presen
table category A, we prove that every k-directed colimit of regular mo
nomorphisms in the category of arrows of A is a regular monomorphism.
(C) 1997 Elsevier Science B.V.