Monoids over which all weakly flat acts are flat

Author:

Bulman-Fleming Sydney,McDowell Kenneth

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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