Small-Essentially Quasi-Dedekind R-Modules

Shahad, Haithab A.; Al-Muthafar, Nuhad S.

doi:10.24996/ijs.2022.63.7.34

Cited by 2 publications

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“…This is because of Fe 3+ ions migration from the octahedral to the tetrahedral sites. The decrease in Hall mobility with Cd addition can be attributed to the restrictions in the lattice by the large Cd 3+ doping ions [28,29]. The increase in saturation magnetization may be primarily due to the substitution of nonmagnetic Cd ion (d 10 ) for Co into the magnetic ferrite lattice.…”

Section: Hall-effectmentioning

confidence: 99%

Structural, Mossbauer spectra and magnetic properties of Ni(1-x) Cdx Fe2O4 by solid state Reaction method

Albayati¹

2023

Tikrit J. Pure Sci.

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The preparation of Ni-Cd ferrite having the chemical formula Ni(1-x)CdxFe2O4 where x varies from 0, 0.1, 0.2, 0.3, 0.4, and 0.5 were synthesized by solid state reaction method. The X-ray analysis shows the existence of single phase spinel structure with increase of lattice parameter and density with increasing Cd contents were as the porosity decreases. The particle size was calculated by X-ray broadening studies. The Vickers hardness of Ni-Cd ferrite system variation between 532 to 568.6. The increase in hardness of composites results from increased Cd-content. The Atomic Force Microscopy (AFM) showed that the average grain size was increases with the increase in Cd content. The variation of dielectric constant, loss tangent and AC conductivity as a function of frequency in frequency range 100Hz-5MHz was studied. The dielectric constants decreases with increasing frequency for all the samples and follow the Maxwell-Wagner's interfacial polarization. The Hall coefficient was found to be positive. It demonstrates that the majority of charge carriers of p-type. The magnetic properties of Ni(1-x)CdxFe2O4 ferrites were strongly affected by the Cd content. The Mossbaure spectra show canted spin structure for all the samples.

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Section: Hall-effectmentioning

confidence: 99%

Structural, Mossbauer spectra and magnetic properties of Ni(1-x) Cdx Fe2O4 by solid state Reaction method

Albayati¹

2023

Tikrit J. Pure Sci.

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“…Recall that an R-module M is an essentially quasi-Dedekind module, if Hom R ( M N , M)=0, for all N≤ 𝑒 M, [16]. Proposition 3.9: Let R be an essentially quasi-Dedekind ring.…”

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confidence: 99%

P-Polyform Modules

Baher,

Ahmed

2024

Iraqi Journal of Science

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An R-module M is called polyform if every essential submodule of M is rational. The main goal of this paper is to give a new class of modules named P-polyform modules. This class of modules are contained properly in the class of polyform modules. Several properties of this concept are introduced and compared with those which is known in the concept of polyform modules. Another characterization of the definition of P-polyform modules is given as an analogue to that in the concept of polyform modules. So we proved that a module M is P-polyform if and only if M)= 0, for each essential submodule N of M, which is pure in M, and a submodule K of M, with NÍKÍM. The relationships between this class of modules and some other related concepts are discussed such as monoform, QI-monoform, monoform, essentially quasi-Dedekind, essentially prime, purely quasi-Dedekind, ESQD and St-polyform modules. Furthermore, purely St-polyform is defined and its relationship with the P-polyform module is studied.

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Small-Essentially Quasi-Dedekind R-Modules

Abstract: In this research, we introduce a small essentially quasi−Dedekind R-module to generalize the term of an essentially quasi.−Dedekind R-module. We also give some of the basic properties and a number of examples that illustrate these properties.

Cited by 2 publications

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Structural, Mossbauer spectra and magnetic properties of Ni(1-x) Cdx Fe2O4 by solid state Reaction method

Structural, Mossbauer spectra and magnetic properties of Ni(1-x) Cdx Fe2O4 by solid state Reaction method

P-Polyform Modules

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