On principally lifting modules
MA Kamal, A Yousef - International Electronic Journal of Algebra, 2007 - dergipark.org.tr
Discrete (quasi-discrete) modules form an important class in module theory, they are studied
extensively by many authors. The class of lifting modules is obtained by considering only …
extensively by many authors. The class of lifting modules is obtained by considering only …
Direct sums of hollow-lifting modules
Y Wang, D Wu - Algebra Colloquium, 2012 - World Scientific
A module M over a ring R is called hollow-lifting if every submodule N of M with M/N hollow
contains a direct summand K of M such that N/K is a small submodule of M/K. It is known that …
contains a direct summand K of M such that N/K is a small submodule of M/K. It is known that …
FI-Hollow-Lifting Modules
SA Alsaadi - Al-Mustansiriyah Journal of Science, 2013 - iasj.net
In this paper, we introduce and study the concept of FI-hollow-lifting modules which is a
proper generalization of hollow-lifting modules. We say M called a fully invariant hollow …
proper generalization of hollow-lifting modules. We say M called a fully invariant hollow …
Generalizations of lifting modules
D Keskin, W Xue - Acta Mathematica Hungarica, 2001 - Springer
The notion of⊕-supplemented modules is a proper generalization of lifting modules. As a
proper generalization of⊕-supplemented modules, we introduce (D 12)-modules and obtain …
proper generalization of⊕-supplemented modules, we introduce (D 12)-modules and obtain …
On a class of lifting modules
H Inankil, S Halicioglu, A Harmanci - arXiv preprint arXiv:1312.4023, 2013 - arxiv.org
arXiv:1312.4023v1 [math.RA] 14 Dec 2013 Page 1 arXiv:1312.4023v1 [math.RA] 14 Dec 2013
ON A CLASS OF LIFTING MODULES HATICE INANKIL, SAIT HALICIOGLU, AND ABDULLAH …
ON A CLASS OF LIFTING MODULES HATICE INANKIL, SAIT HALICIOGLU, AND ABDULLAH …
Generalized lifting modules
Y Wang, N Ding - International journal of mathematics and …, 2006 - Wiley Online Library
We introduce the concepts of lifting modules and (quasi‐) discrete modules relative to a
given left module. We also introduce the notion of SSRS‐modules. It is shown that (1) if M is …
given left module. We also introduce the notion of SSRS‐modules. It is shown that (1) if M is …
[PDF][PDF] Modules for which every non-cosingular submodule is a summand
Y Talebi, M Hosseinpour… - Bulletin of the Iranian …, 2017 - bims.iranjournals.ir
A module $ M $ is lifting if and only if $ M $ is amply supplemented and every coclosed
submodule of $ M $ is a direct summand. In this paper, we are interested in a generalization …
submodule of $ M $ is a direct summand. In this paper, we are interested in a generalization …
Strongly discrete modules
L Ganesan, N Vanaja - Communications in Algebra®, 2007 - Taylor & Francis
We call supplemented self-projective modules “strongly discrete modules.” We characterize
discrete and strongly discrete modules in terms of lifting of maps and prove some of their …
discrete and strongly discrete modules in terms of lifting of maps and prove some of their …
γ-Small submodules and γ-Lifting modules
M Hosseinpour, ARM Hamzekolaee - East West Math, 2020 - fb.ntt.edu.vn
In this paper we introduce a new generalization of small submodules, namely γ-small
submodules. We call a submodule K of a module M, γ-small provided M= K+ L with M/L …
submodules. We call a submodule K of a module M, γ-small provided M= K+ L with M/L …
An example of an indecomposable module without non-zero hollow factor modules
C Lomp - Turkish Journal of Mathematics, 2007 - journals.tubitak.gov.tr
A module M is called hollow-lifting if every submodule N of M such that M/N is hollow
contains a direct summand D\subseteq N such that N/D is a small submodule of M/D. A …
contains a direct summand D\subseteq N such that N/D is a small submodule of M/D. A …