Naser Zamani

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Let M be a non-zero unitary module over a non-zero commutative ring R. A kind of uniqueness theorem for a non-zero fuzzy representable submodule μ of M will be proved, and then the set of fuzzy attached primes of μ will be defined. Then among other things, it will be shown that, whenever R is Noetherian, a fuzzy prime ideal ξ is attached to μ if and only if(More)
Let R be a commutative ring with identity. Let FI(R) be the set of all fuzzy ideals of R and φ : FI(R) → FI(R) ∪ {0R} be a function. We introduce the concept of fuzzy φ-prime ideals of R and study some of its properties. It will be shown that under additional conditions fuzzy φ-primeness implies fuzzy primeness. We also prove that in the decomposable rings(More)
Let R be a commutative ring with non-zero identity and M be a unitary R-module. Let S(M) be the set of all submodules of M , and φ : S(M) → S(M) ∪ {∅} be a function. We say that a proper submodule P of M is a prime submodule relative to φ or φ-prime submodule if a ∈ R, x ∈ M with ax ∈ P \ φ(P ) implies that a ∈ (P :R M) or x ∈ P . So if we take φ(N) = ∅ for(More)
We systematically investigate the optical response of a semiconductor quantum dot (QD) hybridized with a vanadium dioxide nanoparticle (VO2NP) in the infrared (IR) region. The VO2NP features a semiconductor to metal phase change characteristic below and above a critical temperature that leads to an abrupt change in the particle's optical properties. This(More)
Let R be a commutative ring with identity and let M be a torsion free R-module. Several characterizations of distributive modules are investigated. Indeed, among other equivalent conditions, we prove that M is distributive if and only if any primal submodule of M is irreducible, and, if and only if each submodule of M can be represented as an intersection(More)
In this paper, the optical gain in GaAs/Al<sub>x</sub>Ga<sub>1-x</sub>As symmetric double semi-parabolic quantum well laser is calculated. For this purpose, first the Schro&#x0308;dinger equation using the fourth-order Runge-Kutta method is done in order to obtain the energy levels and their corresponding wave functions of electrons and holes in double(More)
Let R be a commutative ring with non-zero identity and let M be a non-zero unitary R-module. The concept of fuzzy coprimary submodule as a dual notion of fuzzy primary one will be introduced and some of its properties will be studied. Among other things, the behavior of this concept with respect to fuzzy localization formation and fuzzy quotient will be(More)
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