Let R be a right artinian ring or a perfect commutative ring. Let M be a noncosingular self-
generator Σ-lifting module. Then M has a direct decomposition M=⊕< sub> iϵ< sup> IM< …

Let R be a right artinian ring or a perfect commutative ring. Let M be a noncosingular lifting
module that does not have relatively projection component. Then M=⊕ ni= 1Mi has the …

In this paper we study some properties of Σ-lifting modules. We show that a Σ-lifting module
with local endomorphism ring is self-projective. Let R be an associative ring with identity. All …

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 …

المعممة - مقاسات الرفع المجوفه Generalized-hollow lifting modules Page 1 Hasan Iraqi Journal
of Science, 2016, Vol. 57, No.3B, pp:2089-2093 _______________________________ *Email …

It is shown that if M is a nonsingular CS-module with an indecomposable decomposition
M=⊕ i∊ I Mi, then the family {Mi| i€ I} is locally semi-T"-nilpotent. This fact is used to prove …

In this paper we introduce 𝒯-noncosingular modules. Rings for which all right modules are𝒯-
noncosingular are shown to be precisely those for which every simple right module is …

Almost N-projective modules and generalized N-projective modules play an important role
in the study of lifting modules and artinian rings. In this paper, we study a relationship …

In this paper we introduce T-noncosingular modules. Rings for which all right modules are T-
noncosingular are shown to be precisely those for which every simple right module is …

It is well known that over a left Notherian ring any direct sum of injecive modules is again
injective, and every injective module is a direct sum of indecomposable modules. Faith [6] …