Let A be an integral domain and K its field of fractions. An A-module E is said to be torsion
free if ax= 0 for azA, x EE implies a= 0 or x= 0. We will say that a submodule E1 of an A …

A module over a commutative ring is scalar-reflexive if the only endormorphisms that leave
invariant every submodule are scalars. We investigate the class of rings for which every …

A module M is said to be wealdy-injective if and only if for every finitely generated
submodule N of the injective hull E (M) of M there exists a submodule X of E (M), isomorphic …

T (M)=(x= M| Hom,(Ra, I (R))= 0) where I (R) is the injective hull of R as a left R-module. A left
R-module M is said to be torsion free if T (M)= 0. For the properties of torsion free modules …

A. Tozaki and the author defined almost relative projective modules in [5], and the author
has given a new concept of almost projective modules in [6]. On the other hand, we know …

We use the concept of dual Goldie dimension and a characterization of semi-local rings due
to Camps and Dicks (1993) to find some classes of modules with semi-local endomorphism …

Introduction. A ring is called left (right) hereditary in case each left (right) ideal is projective.
Such rings have been studied extensively, and the property of being left hereditary is …

This review paper is concerned with modules in which all automorphisms (endomorphisms)
of submodules can be extended to endomorphisms of the entire module. We consider old …

A note on modules over regular rings Page 1 BULL. AUSTRAL. MATH. SOC. MOS I6A30,
I6A52, I6A50 VOL.- 4 ( 1971 ), 57-62. A note on modules over regular rings KM Rangaswamy …

The injective hull of a module M can be characterized as a homomorphism f: M~ E (with E an
injective module) such that for each homomorphism g: M--* E'with E'injective, there exists a …