Lifting modules over right perfect rings
Y Kuratomi, C Chang - Communications in Algebra®, 2007 - Taylor & Francis
A module M is called extending if, for any submodule X of M, there exists a direct summand
of M which contains X as an essential submodule, that is, for any submodule X of M, there …
of M which contains X as an essential submodule, that is, for any submodule X of M, there …
Infinite direct sums of lifting modules
N Er - Communications in Algebra®, 2006 - Taylor & Francis
A module M over a ring R is called a lifting module if every submodule A of M contains a
direct summand K of M such that A/K is a small submodule of M/K (eg, local modules are …
direct summand K of M such that A/K is a small submodule of M/K (eg, local modules are …
Rings whose finitely generated modules are extending
D Van Huynh, ST Rizvi, MF Yousif - Journal of Pure and Applied Algebra, 1996 - Elsevier
Rings whose finitely generated modules are extending Page 1 JOURNAL OF PURE AND
Journal of Pure and Applied Algebra 111 (1996) 325-328 APPLIED ALGEBRA Rings whose …
Journal of Pure and Applied Algebra 111 (1996) 325-328 APPLIED ALGEBRA Rings whose …
On hollow-lifting modules
N Orhan, DK Tütüncü, R Tribak - Taiwanese Journal of …, 2007 - projecteuclid.org
Let $ R $ be any ring and let $ M $ be any right $ R $-module. $ M $ is called hollow-lifting if
every submodule $ N $ of $ M $ such that $ M/N $ is hollow has a coessential submodule …
every submodule $ N $ of $ M $ such that $ M/N $ is hollow has a coessential submodule …
The structure of extending modules over Noetherian rings
MA Kamal, BJ Müller - 1988 - projecteuclid.org
A module is said to be extending, if every closed (ie complement) submodule is a direct
summand. This property is usually denoted by (Q). It is, obviously, equivalent to the …
summand. This property is usually denoted by (Q). It is, obviously, equivalent to the …
X-lifting modules over right perfect rings
CH Chang - Bulletin of the Korean Mathematical Society, 2008 - koreascience.kr
Keskin and Harmanci defined the family B (M, X)= ${A {\leq} M|{\exists} Y {\leq} X,{\exists} f
{\in} Hom_R (M, X/Y),\; Ker\; f/A {\ll} M/A} $. And Orhan and Keskin generalized projective …
{\in} Hom_R (M, X/Y),\; Ker\; f/A {\ll} M/A} $. And Orhan and Keskin generalized projective …
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 …
Extending modules which are direct sums of injective modules and semisimple modules
C Santa-Clara, PF Smith - Communications in Algebra, 1996 - Taylor & Francis
Extending modules which are direct sums of injective modules and semisimple modules Page 1
COMMUNICATIONS IN ALGEBRA, 24(1 I), 3641-3651 (1996) Extending modules which are …
COMMUNICATIONS IN ALGEBRA, 24(1 I), 3641-3651 (1996) Extending modules which are …
Goldie extending property on the class of exact submodules
We define a module M to be G r-extending if for each exact submodule X of M there exists a
direct summand D of M such that X∩ D is essential in both X and D. We investigate G r …
direct summand D of M such that X∩ D is essential in both X and D. We investigate G r …
On Cofinitely lifting modules
Y Wang, D Wu - Algebra Colloquium, 2010 - World Scientific
Let R be a ring and M a right R-module. M is called a cofinitely lifting module if for any
cofinite submodule N of M, there exists a direct summand K of M such that K≤ N and N/K≪ …
cofinite submodule N of M, there exists a direct summand K of M such that K≤ N and N/K≪ …