Rings over which every module has a maximal submodule Page 1 RINGS OVER WHICtt
EVERY MODULE HAS A MAXIMAL SUBMODULE LA Koifman UDC 512.4 We consider Bass's …

Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective
hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R …

Let T be a Noetherian ring and fa nonzerodivisor on T. We study concrete necessary and
sufficient conditions for a module over R= T/(f) to be weakly liftable to T, in the sense of …

Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a
class of modules which is an analogous of δ-supplemented modules defined by Kosan. The …

Let A be a ring (all ring are commutative, with identity), let t∈ A be a nonzerodivisor and not
a unit, and let B= A∕ At. Let M be a B-module of finite type. We call an A-module E of finite …

ABSTRACT A principal right ideal of a ring is called uniquely generated if any two elements
of the ring that generate the same principal right ideal must be right associated (ie, if for all a …

In this thesis, we will study the relations between weakly injective, weakly projective versus
extending and lifting modules and its generalization. Mainly, we study rings over which …

A module M is called EPI-RETRACTABLE if every submodule of M is a homomorphic image
of M. Dually, a module M is called co-EPI-RETRACTABLE if it contains a copy of each of its …

REMARKS ON THE LIFTING PROPERTY OF SIMPLE MODULES Page 1 Okado, M. and
Oshiro, K. Osaka J. Math. 21 (1984), 375-385 REMARKS ON THE LIFTING PROPERTY OF …

In this work, we prove that an R-module M is cofinitely δ-supplemented (ie each cofinite
submodule of M has a δ-supplement) if and only if every maximal submodule of M has a δ …