Results 51 to 60 of about 466,881 (179)
Pseudo Weakly Closed Submodules and Related Concepts
Let be a commutative ring with identity, and be a unitary left -module. In this paper we introduce the concept pseudo weakly closed submodule as a generalization of -closed submodules, where a submodule of an -module is called a pseudo weakly closed
Haibat K. Mohammadali +1 more
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Nearly Quasi 2-Absorbing submodule
All rings in this note are commutative rings with identity, and all R modules are left unitary. "A proper submodule E of an R-module X is called nearly quasi prime submodule, if whenever abx ∈ E, with a, b ∈
Haibt K. Mohammadali, Khalaf H Alhabeeb
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PRIME BASES OF WEAKLY PRIME SUBMODULES AND THE WEAK RADICAL OF SUBMODULES [PDF]
We will introduce and study the notion of prime bases for weakly prime submodules and utilize them to derive some formulas on the weak radical of submodules of a module. In particular, we will show that every one dimensional integral domain weakly satisfies the radical formula and state some necessary conditions on local integral domains which are semi-
Ashkan Nikseresht, Abdulrasool Azizi
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Pseudo Quasi-2-Absorbing Submodules and Some Related Concepts
Let R be a ring and let A be a unitary left R-module. A proper submodule H of an R-module A is called 2-absorbing , if rsa∈H, where r,s∈R,a∈A, implies that either ra∈H or sa∈H or rs∈[H:A], and a proper submodule H of an R-module A is called ...
Omar A. Abdulla, Haibat K. Mohammad Ali
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Zariski topology on the spectrum of graded pseudo prime submodules
: In this article, we introduce the concept of graded pseudo prime submodules of graded modules that is a generalization of the graded prime ideals over commutative rings.
R. Abu-Dawwas
semanticscholar +1 more source
Prime Submodules of Noetherian Modules
Let \(M\) be a left module over a ring \(R\). Then a proper submodule \(N\) of \(M\) is defined to be a prime submodule if for each \(r \in R\), \(m \in M\), \(rRm \subseteq N\) implies \(rM \subseteq N\) or \(m \in N\). Hence if \(N\) is a prime submodule of \(M\), then the annihilator \(P\) of \(M/N\) is a two- sided prime ideal of \(R\).
McCasland, R.L., Smith, P.F.
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An alcohol‐adduct‐mediated strategy is employed to stabilize tin isopropoxide for the formation of a homogeneous double electron transport layer (ETL) incorporating SnO2 nanoparticles (NPs). This double‐ETL exhibits improved optical and charge‐transport properties due to reduced defect density and better energy level alignment, resulting in high ...
You‐Hyun Seo +10 more
wiley +1 more source
Prime Submodules of Graded Modules [PDF]
Let G be a group, R be a G-graded ring and M be a G-graded R-module. Suppose P is a prime ideal of Reand g G G. In this article, we defineMg (P) = {m G Mg : Am C PMg for some ideal A of Re satisfying A C P}that is an Re-submodule of Mg, and we investigate some results on this submodule.
Abu-Dawwas, Rashid +2 more
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SuperResNET is a powerful integrated software that reconstructs network architecture and molecular distribution of subcellular structures from single molecule localization microscopy datasets. SuperResNET segments the nuclear pore complex and corners, extracts size, shape, and network features of all segmented nuclear pores and uses modularity analysis
Yahongyang Lydia Li +6 more
wiley +1 more source
Weak Essential Fuzzy Submodules Of Fuzzy Modules
Throughout this paper, we introduce the notion of weak essential F-submodules of F-modules as a generalization of weak essential submodules. Also we study the homomorphic image and inverse image of weak essential F-submodules.
Hassan K. Marhon, Hatam Y. Khalaf
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