Sur les algebres de Rees II

The notion of a Rees ring was introduced in view of what one calls today the Artin — Rees lemma. In fact, it is the Rees algebra of an ideal of a commutative ring with identity. We give in this paper a number of results which concern the Rees algebra of a module over a commutative ring with identity which also complete those of a previous paper (cf. 7]). In particular, we show that the Rees algebra of a module can be approached, in a sense which is made precise in the paper, through tensor or symmetric flat algebras.