Content Algebras Over Commutative Rings With Zero-Divisors

الأصل · EN

Let M be an R-module and c the function from M to the ideals of R defined by c(x) = ∩ I I is an ideal of R and x ∈ IM. M is said to be a content R-module if x ∈ c(x)M, for all x ∈ 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.