On lifting modules
D Keskin - Communications in Algebra, 2000 - Taylor & Francis
… relatively small projective R-modules and every co-closed … lifting R-module and a
simple R-module is lifting, every simple R-module is small M-projective for any lift,ing R-module …
simple R-module is lifting, every simple R-module is small M-projective for any lift,ing R-module …
[图书][B] Lifting modules: supplements and projectivity in module theory
… modules of our title, lifting modules. As already mentioned, these are the duals of extending
modules. … and homomorphisms of right modules on the left and we will usually do so. In this …
modules. … and homomorphisms of right modules on the left and we will usually do so. In this …
On principally lifting modules
MA Kamal, A Yousef - International Electronic Journal of Algebra, 2007 - dergipark.org.tr
… discrete modules, namely the condition (D1). Here we … on and study principally lifting
modules, or modules with the condition (PD1). These modules are generalizations of lifting modules…
modules, or modules with the condition (PD1). These modules are generalizations of lifting modules…
On J–Lifting Modules
… J– lifting module if for every submodule N of M, there exists a … We define the notion of J–liftingi
modules as aigeneralization of lifting … for a direct sum of J–lifting modules to be J–lifting . …
modules as aigeneralization of lifting … for a direct sum of J–lifting modules to be J–lifting . …
A generalization of lifting modules
T Amouzegar Kalati - Ukrainian mathematical journal, 2015 - Springer
… -lifting module, then M is a direct sum of cyclic modules. The connections between I -lifting
modules and dual Rickart modules … On the other hand, we have g 2 DS(Img) = eS. Thus, there …
modules and dual Rickart modules … On the other hand, we have g 2 DS(Img) = eS. Thus, there …
[PDF][PDF] Liftings and weak liftings of modules
M Auslander, S Ding, O Solberg - Journal of Algebra, 1993 - core.ac.uk
… notion of a lifting of a module, but … on a A-module is always assumed to be elements in m.
This section is devoted to showing that every lifting of a liftable A, module M is a factor module …
This section is devoted to showing that every lifting of a liftable A, module M is a factor module …
On Cofinitely lifting modules
Y Wang, D Wu - Algebra Colloquium, 2010 - World Scientific
… -extending modules). As motivated by the above ideas, we call a module M a cofinitely lifting
module as a dual of EF-extending modules if for any cofinite submodule N of M, there exists …
module as a dual of EF-extending modules if for any cofinite submodule N of M, there exists …
[PDF][PDF] A Generalization of Lifting Modules
… In this paper we study about cf-lifting modules and give some conditions for a cf-lifting module
to be a lifting module. … In this paper we generalize the lifting modules as cf-lifting modules. …
to be a lifting module. … In this paper we generalize the lifting modules as cf-lifting modules. …
[PDF][PDF] Lifting modules, extending modules and their applications to generalized uniserial rings
K Oshiro - Hokkaido Mathematical Journal, 1984 - projecteuclid.org
… a lifting module if every submodule of M is small liftable. M is said to be aquasi-semiperfect
module if M isa lifting module and … We show our assertion by induction on the dimension. So, …
module if M isa lifting module and … We show our assertion by induction on the dimension. So, …
[PDF][PDF] On modules with lifting properties
M Harada - 1982 - projecteuclid.org
… We have studied the Hiking property on a direct sum of completely indecomposable and
cyclic hollow modules over a ring R in [8]. In this note, we shall define the lifting property of …
cyclic hollow modules over a ring R in [8]. In this note, we shall define the lifting property of …