Let R be a commutative ring with identity. A unital R-module M is called a fully invariant
multiplication module provided for each fully invariant submodule L of M there exists an …

All rings are assumed to be associative and with nonzero identity element. Unless otherwise
stated all modules are unital right modules. Expressions such as “a Noetherian ring” mean …

Introduction. A module MR is called a multiplication module, if for any subrnodule N of Af, N=
MA for some ideal A of R [I]. Any faithful mutiplicat, iori module 11f~ of finite unifomi …

Let R be a commutative ring. A module MR is called a multiplication module, if for any
submodule N of M there exists an ideal A of R such that N= MA [2]. Low and Smith [8 …

In this note all rings are commutative rings with an identity (except for a short section in 53)
and all modules are unital. Let R be a ring and M an R-module. Then M is called a …

In this note all rings are commutative with identity and all modules are unital. If R is a domain
then an ideal I of R is a multiplication ideal if and only if I is invertible, equivalently R= Cp (I) …

Let be a commutative ring and an-module. Then is a multiplication module if for each
submodule of. The ideal of has proved useful in studying multiplication modules. We show …

It is proved that each submodule of a multiplication module over a regular ring is a
multiplicative module. If A is a ring with commutative multiplication of right ideals, then each …

In this note all rings are commutative rings with identity and all modules are unital. Let R be
a commutative ring with identity. An R-module M is called a multiplication module provided …

Let R be a commutative ring with 1, and M a unitary right R-module. It is known that if M is a
finitely generated (fg) orjective module, then M* is a fg Projective left R-module and M** is a …