  Let $M$ be an $R$-module and $c$ the function from $M$ to the ideals of $R$
defined by $c(x) = \cap \lbrace I \colon I \text{is an ideal of} R \text{and} x
\in IM \rbrace $. $M$ is said to be a content $R$-module if $x \in c(x)M $, for
all $x \in M$. $B$ is called a content $R$-algebra, if it is a faithfully flat
and content $R$-module and it satisfies the Dedekind-Mertens content formula.
In this article, we prove some new results for content modules and algebras by
using ideal theoretic methods.

Commutative Algebra;Rings and Algebras