On the module of homomorphisms on finitely generated multiplication modules II.

Abstract

Let R be a commutative ring with 1. An R-module A is called a multiplication module, if for each submodule N of A there exists an ideal I of R such that N = IA (see [l]). Let A b e a finitely generated (f.g) multiplication unitary (left) R-module, and let D=ann(annA). It was proved in [4] that if D is projective (flat) ideal in R, then A* is projective (Aat) module. Moreover A* is a multiplication module iff D is a multiplication ideal in R. Let A be a f.g multiplication R-module and B a multiplication R-module, and let E = E(A, B)=[annB: annA]. It turns out that EB= /EHosA B) n-4 (see km In th is work we show that some of the properties of