In this paper we shall generalize the notion of semiperfect modules in terms of preradicals,
and show that almost all properties of semiperfect modules are preserved under this …

Semi-perfect and perfect modules were introduced by Mares [3] as generalizations of
Bass'[2] notions of semi-perfect and perfect rings. She developed a substantial structure …

The notion of generalized projective covers Is Introduced to give a natural generalization of
a theorem of Bass on perfect rings. Moreover, In terms of this notion, some characterizations …

Sandomierski (Proc. AMS 21 (1969), 205–207) has proved that a ring is semiperfect if and
only if every simple module has a projective cover. This is generalized to semiperfect …

A right module A over a ring R is called finitely injective if every diagram of right R-modules
of the form where X is finitely generated and the row is exact, can be imbedded in a …

Let R be a ring with Jacobson radical J. Bass [1] called R semi-perfect if the factor ring R/J is
semi-simple Artinian and every idempotent of R/J can be lifted to an idempotent of R. He …

IYTRODCCTION 1: n~ onorphism rings of various types of modules have been objects of
extensive study in the recent past [2, 11, 14, 15, 18, 25, 261. In [15] Erika Mares introduced …

Mares [9] has called a projective module semiperfect if every homomorphic image has a
projective cover and has shown that many of the properties of semiperfect rings can be …

In a recent paper by Wang and Ding, it was stated that any ring which is generalized
supplemented as a left module over itself is semiperfect. The purpose of this note is to show …

Let R be a ring with Jacobson radical J. A projective left R-module P was called by Mares [3]
a semi-perfect module if every homomorphic image of P has a projective cover, while P is …