Monoids over which all weakly flat acts are flat
Sydney Bulman‐Fleming, Kenneth McDowell · Proceedings of the Edinburgh Mathematical Society · 1990
If R is a ring with identity and M is a left R-module then it is well known that the following statements are equivalent: (1) M is flat. (2) The functor −⊗M preserves embeddings of right ideals into R. This paper investigates situations in which the analogous statements are equivalent in the context of S-sets over a monoid S.