M commutes. The first section of this paper contains results which are needed to prove a
decomposition theorem for quasi-projective modules over left perfect rings (Theorem 1.10) …

A ring $ R $ is regular [completely reducible] if and only if the character module of every left
$ R $-module is quasi-injective [quasiprojective]. Submodules of quasiprojective left $ R …

Recently,]~. DE ROBERT has considered the dual concepts of relative projectivity and
relative injectivity that extend the notions of quasi-projective and quasi-injective modules …

Let M be a left module over a ring R. A submodule N of M is called locally split in M if for
each x EN there exists a homomorphism h: Mt N such that h (x)= x. It is shown that if N is …

In [KR Fuller, on indecomposable injectives over artinian rings, Pacific J. Math. 29 (1969),
115-135, Theorem 3.1] KR Fuller gave necessary and sufficient conditions for projective left …

Let R be a ring. We have studied rings whose projective modules have the extending
property of simple modules in [3] and [5]. In this note, we shall further study those rings when …

If M denotes the class of unitary left modules over a ring R, then each subclass# ofM
determines two subclasses ofJt—the relative projectivity class and the relative injectivity …

Characterization of Rings Using Quasiprojective Modules. II Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 28, Number 2, May 1971 CHARACTERIZATION …

In 1960, H. Bass [3] defined the notion of semi-perfect rings and, in 1963, E. Mares [ll]
generalized it to that of semi-perfect modules. Since that time various kinds of further …

A note on regular modules Page 1 BULL. AUSTRAL. MATH. SOC. I6A30 VOL. II ( 1 9 7 4 ) , 3 5
9 - 3 6 4 . ( I 6 A 5 O ) A note on regular modules VS Ramamurthi Kaplansky's observation …