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 …
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …
Relative weak injective and weak flat modules with respect to a semidualizing module
Let R be a commutative ring, and let C be a semidualizing R-module. We introduce the
notion of finitely presented C-injective modules, finitely presented C-flat modules, weak C …
notion of finitely presented C-injective modules, finitely presented C-flat modules, weak C …
On rings with envelopes and covers regarding to , and flat modules
L Van Thuyet, P Dan, TC Quynh - Journal of Algebra and Its …, 2021 - World Scientific
In this paper, by taking the class of all C 3 (or D 3) right R-modules for general envelopes
and covers, we characterize a semisimple artinian ring (or a right perfect ring) via D 3-covers …
and covers, we characterize a semisimple artinian ring (or a right perfect ring) via D 3-covers …
Pure-direct-injective modules
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 …
is isomorphic to a direct summand of such a module then the pure submodule is itself a …
On m-injective and m-projective modules
Y Alagöz - Mathematical Sciences and Applications E-Notes, 2020 - dergipark.org.tr
In this study, the concept of m-projective modules is introduced. A right R-module M is said
to be m-projective if Ext (M, N)= 0 for any m-injective right R-module N. We prove that every …
to be m-projective if Ext (M, N)= 0 for any m-injective right R-module N. We prove that every …
On C-co-epi-retractable modules
AD Diallo, PC Diop, M Barry - European Journal of Pure and Applied …, 2019 - ejpam.com
In this paper, we introduce the notion of c-co-epi-retractable modules. An R-module M is
called c-co-epi-retractable if it contains a copy of its factor module by a complement …
called c-co-epi-retractable if it contains a copy of its factor module by a complement …
-projective dimensions, Foxby equivalence and -projective modules
This is a study of Ding projective modules relative to a semidualizing module and related
topics. Firstly, we study DC-projective dimensions and DC-projective modules under change …
topics. Firstly, we study DC-projective dimensions and DC-projective modules under change …
Rad-Projective δ-Covers
Y Ibrahim, M Yousif - Noncommutative Rings and Their …, 2015 - books.google.com
In generalizing the well-established notion of projective cover, the notions of D3-cover and
rad-projective cover were recently introduced and new characterizations of perfect and …
rad-projective cover were recently introduced and new characterizations of perfect and …
Characterizing local rings via perfect and coperfect modules
M Rahmani, A Taherizadeh - Journal of Algebra and Its Applications, 2017 - World Scientific
Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using
the classes 𝒫 C and ℐ C, we extend the notions of perfect and coperfect modules introduced …
the classes 𝒫 C and ℐ C, we extend the notions of perfect and coperfect modules introduced …