Coneat submodules and coneat-flat modules

E Buyukasik, Y Durgun - Journal of the Korean Mathematical …, 2014 - koreascience.kr
A submodule N of a right R-module M is called coneat if for every simple right R-module S,
any homomorphism $ N {\rightarrow} S $ can be extended to a homomorphism $ M …

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 …

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 …

[PDF][PDF] Modules that have a supplement in every coatomic extension

B NişancıTürkmen - Miskolc Mathematical Notes, 2015 - real.mtak.hu
Let R be a ring and M be an R-module. M is said to be an E-module (respectively, an EE-
module) if M has a supplement (respectively, ample supplements) in every coatomic …

Projectivity relative to closed (neat) submodules

Y Durğun - Journal of Algebra and Its Applications, 2022 - World Scientific
An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …

Pure-direct-injective modules

SK Maurya, S Das, Y Alagöz - Lobachevskii Journal of Mathematics, 2022 - Springer
In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

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 …

On modules and rings in which complements are isomorphic to direct summands

F Karabacak, MT Koşan, TC Quynh… - Communications in …, 2022 - Taylor & Francis
Abstract A right R-module M is virtually extending (or CIS) if every complement submodule of
M is isomorphic to a direct summand of M, and M is called a virtually C2-module if every …

On generalized extending modules

Q Zeng - Journal of Zhejiang University-SCIENCE A, 2007 - Springer
A module M is called generalized extending if for any submodule N of M, there is a direct
summand K of M such that N≤ K and K/N is singular. Any extending module and any …

When every S-flat module is (flat) projective

D Bennis, A Bouziri - Communications in Algebra, 2024 - Taylor & Francis
Let R be a commutative ring with identity and S a multiplicative subset of R. The aim of this
paper is to study the class of commutative rings in which every S-flat module is flat (resp …