-supplemented modules
S Özdemir - Algebra and Discrete Mathematics, 2020 - admjournal.luguniv.edu.ua
Abstract Let\(R\) be a ring, let\(M\) be a left\(R\)-module, and let\(U, V, F\) be submodules
of\(M\) with\(F\) proper. We call\(V\) an\(F\)-supplement of\(U\) in\(M\) if\(V\) is minimal in the …
of\(M\) with\(F\) proper. We call\(V\) an\(F\)-supplement of\(U\) in\(M\) if\(V\) is minimal in the …
On Some Injective Modules In σ[M]
AÇ Özcan, DK Tütüncü, MF Yousif - Modules and Comodules, 2008 - Springer
In this paper, we study the notions (strongly) soc-injective,(strongly) simple-injective and
(strongly) mininjective modules in σ [M]. For any module N in σ [M], N is strongly mininjective …
(strongly) mininjective modules in σ [M]. For any module N in σ [M], N is strongly mininjective …
[PDF][PDF] Quasi-invertibility Monoform Modules
MA Ahmed - Iraqi Journal of Science, 2023 - iasj.net
The main goal of this paper is to introduce a new class in the category of modules. It is called
quasi-invertibility monoform (briefly QI-monoform) modules. This class of modules is a …
quasi-invertibility monoform (briefly QI-monoform) modules. This class of modules is a …
Mutually essentially pseudo-injective modules
Let M and N be two modules. M is called essentially pseudo N-injective if for any essential
submodule A of N, any monomorphism f: A → M f: A→ M can be extended to some g ∈ Hom …
submodule A of N, any monomorphism f: A → M f: A→ M can be extended to some g ∈ Hom …
On some injective modules in σ [M]
AC Ozcan, DK Tütüncü, M Yousif - Modules and comodules …, 2008 - books.google.com
In this paper, we study the notions (strongly) soc-injective,(strongly) simple-injective and
(strongly) mininjective modules in σ [M]. For any module N in σ [M], N is strongly mininjective …
(strongly) mininjective modules in σ [M]. For any module N in σ [M], N is strongly mininjective …
[引用][C] Factor-square-full semimodules
W Yong-duo, LU Jing - Journal of Lanzhou University of Technology, 2023
On generalized injective modules and almost injective modules
H Fuchigami, Y Kuratomi, Y Shibata - Journal of Algebra and Its …, 2024 - World Scientific
A module M is called N-almost-invariant for a module N if, for any homomorphism α: F→ E,
either α (N)⊆ M, or there exist nonzero direct summands F′ of F and E′ of E such that α …
either α (N)⊆ M, or there exist nonzero direct summands F′ of F and E′ of E such that α …
Relative subcopure-injective modules
Y ALAGÖZ - Communications Faculty of Sciences University of …, 2020 - dergipark.org.tr
In this paper, copure-injective modules is examined from an alternative perspective. For two
modules A and B, A is called B-subcopure-injective if for every copure monomorphism f: B→ …
modules A and B, A is called B-subcopure-injective if for every copure monomorphism f: B→ …
[PDF][PDF] Primal and weakly primal subsemimodules
M Bataineh, R Malas - American Int. J. Contemp. Research, 2014 - researchgate.net
Let R be a commutative semiring with identity and M an R-semi module. The concept of
primal sub modules has been introduced and studied [1]. Also weakly primal sub modules …
primal sub modules has been introduced and studied [1]. Also weakly primal sub modules …
Locally artinian supplemented modules
BN Türkmen, Y Şahin - Algebraic Structures and Their Applications, 2023 - as.yazd.ac.ir
In this paper, we introduce notions of RLA-local modules and locally artinian supplemented
modules which are proper generalizations as notions of strongly local modules and ss …
modules which are proper generalizations as notions of strongly local modules and ss …