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

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.

Author(s):  
Ernesta Molotokienė

The aim of the article is to reveal a fundamental relation between the philosophy of creativity and education in the knowledge society. Knowledge society as a special social space of modern society is formed in the middle of the 20th century with a new system of educational organizations, therefore training a knowledge worker who is able to be productive in a rapidly changing knowledge and technological environment is one of the main challenges of modern education. The contemporary philosophy of creativity has an important impact on education in knowledge society. The creative nature of learning determines the knowledge worker’s ability to achieve social, technical and technological innovations, while research work forms a dynamic competence and socio-economic performance. The article stresses that creativity remains one of the most important educational goals of knowledge society.


Author(s):  
S. Ostadhadi-Dehkordi ◽  
B. Davvaz ◽  
M. Heidari
Keyword(s):  

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.


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

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.


Author(s):  
Tushar Kanta Mohapatra ◽  
Suchismita Satapathy ◽  
Isham Panigrahi ◽  
Debesh Mishra

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.


2021 ◽  
Vol 5 (4) ◽  
pp. 136
Author(s):  
Chanakarn Kiataramkul ◽  
Sotiris K. Ntouyas ◽  
Jessada Tariboon

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.


2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Wafa Shammakh ◽  
Hadeel Z. Alzumi ◽  
Bushra A. AlQahtani

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.


Nanomaterials ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 656
Author(s):  
Stylianos Daskalakis ◽  
Mingyue Wang ◽  
Claire J. Carmalt ◽  
Dimitra Vernardou

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%.


Author(s):  
Konstantin I. Matveev ◽  
Zachary J. Malhiot

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.


2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Chanakarn Kiataramkul ◽  
Sotiris K. Ntouyas ◽  
Jessada Tariboon

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.


2018 ◽  
Vol 10 (2) ◽  
pp. 60-67
Author(s):  
Christian Luz Pelissari de Oliveira ◽  
Fernando Pereira de Souza

The present article is the result of a research work of the Degree in Mathematics in the scope of the Tutorial Education Program -PET. The work deals with concepts of Spherical Trigonometry, which has several fields of applications between mathematics and physics, related to cartographic problems, navigation and astronomy. The goal is to explore problems of astronomy applications of celestial bodies by making use of trigonometry concepts in the sphere to study positions and directions of stars in terms of a celestial sphere. In order to reach this objective, the article presents concepts of a smaller distance between two points in the sphere, a triangle of position that is the spherical triangle, the fundamental relation known as law of cosines, the Celestial Sphere, its elements, its coordinates in the equatorial system, horizontal system and time system. Thus, the work seeks to encourage students and teachers to work on Spherical Geometry in the classroom


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