Multiplication modules and projective modules (Q1346295)

Several equivalent formulations for a module \(M\) over a commutative ring \(R\) to be a multiplication module are established. If \(M\) is finitely generated, it must be projective over \(R/A\) (where \(A\) is the annihilator of \(M\) in \(R\)) with sme additional properties. In particular, the result of \textit{A. G. Naoum} [Period. Math. Hung. 21, No. 3, 249-255 (1990; Zbl 0739.13004)] is generalized.