… rings with (*) and the other one is semiperfect rings with (*)*. In [9], Oshiro has studied these
… right R-module is expressed as a direct sum of a projective module and a singular module. …

… a ring A semi-perfect if and only if every finitely generated module has a projective cover …
136] is given by Lambek to show that every semi-perfect ring is quasi-perfect. However the hint …

… rings with projective, … semiperfect rings with projective, essential socle. Section 2 arose
from attempts to find a simple proof that such rings are ring direct sums of indecomposable rings …

… We prove that if À is either a semiperfect or nonsingular self-injective ring… Projective Modules
and Hereditary Rings In this section we give some properties of relative projective modules …

… of a projective module is idempotent. We show that this is in fact a consequence of the natural
way in which every projective module … rings with the property that every finitely generated, …

… right perfect rings, it is also true that every right module is a summand of a weakly projective
module. … Over a semiperfect ring all projective modules are decomposable as direct sums of …

… It is known that a semiperfect ring JR satisfies acc on left ideals which are direct
summands of JR ([3] Theorem 4.3). Hence Theorem 1 will follow immediately from … factor …

… modules generalising the structure theorems of H. Bass [4] for perfect and semi-perfect rings.
… generalizations of the same concepts from rings to projective modules. In the same paper …

… in the study of lifting modules and artinian rings. In this paper, … N-projective modules
and generalized N-projective modules, … projective modules, and prove that every quasi-semiperfect …

… module and projective module over H-ring and CO-H-ring. In [1], “the author defined injective
module by an … Also, from D1 and D3 properties, we obtain quasi-semi-perfect. So R is a QF-…