Ternary Γ-semihyperrings: Ideals and ideals extensions

2021 ◽  
pp. 2250010
Author(s):  
S. Ostadhadi-Dehkordi ◽  
B. Davvaz ◽  
M. Heidari
Keyword(s):  
Research Work ◽  
Prime Ideals ◽  
New Class

The aim of this research work is to define a new class of multi-algebras that is called ternary [Formula: see text]-semihyperrings as a generalization of [Formula: see text]-semihyperrings and semihyperrings. Then, we define and study the concepts of ideals, mutual ideals, spectrum ideals, strong prime ideals and ultra-prime ideals of them. Also, we define a topology on the set of strong prime ideals. Finally, we introduce the concept of ideal extensions and obtain some related results.

On some combinatorial aspects of transposition n-ary hypergroups

2014 ◽  
Vol 30 (1) ◽  
pp. 109-116
Author(s):  
S. MIRVAKILI ◽  
◽  
B. DAVVAZ ◽  
Keyword(s):  
Research Work ◽  
New Class

The aim of this research work is to define and characterize a new class of algebraic hyperstructures that we call weak transposition n-ary hypergroups. They are a generalization of transposition hypergroups, n-ary polygroups and join n-spaces. A subclass of weak transposition n-ary hypergroups is studied. Also, we prove that the class of weak transposition n-ary hypergroups with a unique scalar identity and the class of n-ary polygroups coincide.

Biodegradable Acoustic Proficiency in Sound Absorption Capacity After Water Treatment and Testing by Impendence Tube Method

2021 ◽  
pp. 75-90
Author(s):  
Tushar Kanta Mohapatra ◽  
Suchismita Satapathy ◽  
Isham Panigrahi ◽  
Debesh Mishra
Keyword(s):  
Composite Material ◽  
Sound Absorption ◽  
Research Work ◽  
Absorption Capacity ◽  
Sound Insulation ◽  
Biodegradable Materials ◽  
Acoustic Absorption ◽  
Fiber Reinforced Composite ◽  
New Class ◽  
Reinforced Composite

The present research investigation aims to fabricate a new class of fiber reinforced composite material by using biodegradable materials with epoxy as the strengthening agent. In order to explore the possibilities of using the new class of composite material in required application areas, the research work is carried out mainly in the field of the acoustic absorption properties of these bio fibers as an alternate building material. Also, the utilization of these materials as sound insulation will also provide a good solution to the waste management.

scholarly journals On weakly S-prime ideals of commutative rings

2021 ◽  
Vol 29 (2) ◽  
pp. 173-186
Author(s):  
Fuad Ali Ahmed Almahdi ◽  
El Mehdi Bouba ◽  
Mohammed Tamekkante
Keyword(s):  
Prime Ideal ◽  
Commutative Ring ◽  
Principal Ideal ◽  
Commutative Rings ◽  
Prime Ideals ◽  
Noetherian Rings ◽  
New Class ◽  
Weakly Prime Ideals

Abstract Let R be a commutative ring with identity and S be a multiplicative subset of R. In this paper, we introduce the concept of weakly S-prime ideals which is a generalization of weakly prime ideals. Let P be an ideal of R disjoint with S. We say that P is a weakly S-prime ideal of R if there exists an s ∈ S such that, for all a, b ∈ R, if 0 ≠ ab ∈ P, then sa ∈ P or sb ∈ P. We show that weakly S-prime ideals have many analog properties to these of weakly prime ideals. We also use this new class of ideals to characterize S-Noetherian rings and S-principal ideal rings.

scholarly journals An Existence Result for ψ-Hilfer Fractional Integro-Differential Hybrid Three-Point Boundary Value Problems

2021 ◽  
Vol 5 (4) ◽  
pp. 136
Author(s):  
Chanakarn Kiataramkul ◽  
Sotiris K. Ntouyas ◽  
Jessada Tariboon
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Existence Result ◽  
Boundary Value ◽  
Research Work ◽  
Point Boundary ◽  
New Class ◽  
Krasnosel’Skii’S Fixed Point Theorem

In this research work, we study a new class of ψ-Hilfer hybrid fractional integro-differential boundary value problems with three-point boundary conditions. An existence result is established by using a generalization of Krasnosel’skiĭ’s fixed point theorem. An example illustrating the main result is also constructed.

scholarly journals A New Class of ψ -Caputo Fractional Differential Equations and Inclusion

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Wafa Shammakh ◽  
Hadeel Z. Alzumi ◽  
Bushra A. AlQahtani
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Fixed Point Theory ◽  
Research Work ◽  
Point Theory ◽  
Stieltjes Integral ◽  
Existence Of A Solution ◽  
New Class ◽  
Caputo Fractional Differential Equations ◽  
Fractional Differential

In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with ψ -Caputo fractional derivative supplemented with nonlocal multipoint, Riemann–Stieltjes integral and ψ -Riemann–Liouville fractional integral operator of order γ boundary conditions. Also, we study the existence result for the inclusion case. Our results are based on the modern tools of the fixed-point theory. To illustrate our results, we provide examples.

scholarly journals Electrochemical Investigation of Phenethylammonium Bismuth Iodide as Anode in Aqueous Zn2+ Electrolytes

Nanomaterials ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 656
Author(s):  
Stylianos Daskalakis ◽  
Mingyue Wang ◽  
Claire J. Carmalt ◽  
Dimitra Vernardou
Keyword(s):  
Large Scale ◽  
Specific Capacity ◽  
Research Work ◽  
Rate Capability ◽  
Chemical Vapor ◽  
High Rate ◽  
New Class ◽  
Bismuth Iodide ◽  
Aqueous Battery ◽  
Safety And Stability

Despite the high potential impact of aqueous battery systems, fundamental characteristics such as cost, safety, and stability make them less feasible for large-scale energy storage systems. One of the main barriers encountered in the commercialization of aqueous batteries is the development of large-scale electrodes with high reversibility, high rate capability, and extended cycle stability at low operational and maintenance costs. To overcome some of these issues, the current research work is focused on a new class of material based on phenethylammonium bismuth iodide on fluorine doped SnO2-precoated glass substrate via aerosol-assisted chemical vapor deposition, a technology that is industrially competitive. The anode materials were electrochemically investigated in Zn2+ aqueous electrolytes as a proof of concept, which presented a specific capacity of 220 mAh g−1 at 0.4 A g−1 with excellent stability after 50 scans and capacity retention of almost 100%.

scholarly journals Chain Condition and Fundamental Relation on (∆;G)-Sets Derived from Gamma-Semihypergroups

2021 ◽  
Vol 45 (01) ◽  
pp. 21-37
Author(s):  
S. OSTADHADI-DEHKORDI
Keyword(s):  
Research Work ◽  
Chain Condition ◽  
Fundamental Relation ◽  
New Class ◽  
Congruence Relations

The aim of this research work is to define a new class of hyperstructure as a generalization of semigroups, semihypergroups and Γ-semihypergroups that we call (Δ,G)-sets. Also, we define fundamental relation on (Δ,G)-sets and prove some results in this respect. Then, we introduce the notions of quotient (Δ,G)-sets by using a congruence relations. Finally, we introduce the concept of complete parts and Noetherian(Artinian) (Δ,G)-sets.

Construction and Testing of Radio-Controlled Power Augmented Ram Model

2007 ◽  
Author(s):  
Konstantin I. Matveev ◽  
Zachary J. Malhiot
Keyword(s):  
High Speed ◽  
Research Work ◽  
Ground Effect ◽  
Full Scale ◽  
Solid Surfaces ◽  
Future Research ◽  
Small Scale ◽  
New Class ◽  
Air Cushion ◽  
Aerodynamic Lift

Heavy-payload Power Augmented Ram vehicles represent a new class of amphibious transportation means. In the static and low-speed operational regimes, these machines utilize a skirtless pressurized air cushion generated by front jet propulsors. In the high-speed motion, the aerodynamic lift augmented in ground effect becomes the dominant support. The construction of a small-scale radio-controlled Power Augmented Ram model is described. Results of initial static and self-propelled tests on solid surfaces are presented. Future research work and possible full-scale applications are discussed.

scholarly journals Existence Results for ψ -Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Chanakarn Kiataramkul ◽  
Sotiris K. Ntouyas ◽  
Jessada Tariboon
Keyword(s):  
Boundary Value Problems ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Research Work ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Existence Results ◽  
New Class ◽  
Multivalued Operators ◽  
Differential Equations And Inclusions

In this research work, we study a new class of ψ -Hilfer hybrid fractional integro-differential boundary value problems with nonlocal boundary conditions. Existence results are established for single and multivalued cases, by using suitable fixed-point theorems for the product of two single or multivalued operators. Examples illustrating the main results are also constructed.

scholarly journals Molecular Structuring of Novel Chiral Polymers via Cyclophane-based Monomer Design Strategies

2021 ◽  
Author(s):  
Henrik Tappert ◽  
Zengwen Li ◽  
Jasmin Seibert ◽  
Christoph Zippel ◽  
Zahid Hassan ◽  
...  
Keyword(s):  
Soft Matter ◽  
Research Work ◽  
Functional Polymers ◽  
Design Strategies ◽  
Precise Control ◽  
Chiral Polymers ◽  
New Class ◽  
Diverse Perspective

Structuring soft matter with precise control over molecular arrangements, nanoscale morphologies, especially aiming at functional polymers featuring chirality or helicity, responsiveness, and other features, has been a great research objective, which yet remains a challenging task. In this research work, we developed new design strategies for molecular structuring of an entirely new class of chiral polymers based on [2.2]paracyclophane derivatives. The grafting of tunable functional moieties onto [2.2]paracyclophane enables post-polymerization modification, where diverse perspective applications can be envisioned. In particular, chiral vinyl[2.2]paracyclophane and [2.2]paracyclophane-substituted diazoacetate give novel poly[2.2]paracyclophanylethenes and poly[2.2]paracyclophanylmethenes, respectively.

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