Results 51 to 60 of about 504 (171)

Helix-Hopes on S-Helix Matrices

Ratio Mathematica, 2017
A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations. The main characteristic of the helix-hyperoperation is that all entries of the matrices are used.
Souzana Vougioukli, Thomas Vougiouklis
doaj   +1 more source

Electron‐Sponge Nature of Polyoxometalates for Next‐Generation Electrocatalytic Water Splitting and Nonvolatile Neuromorphic Devices

Advanced Science, Volume 11, Issue 5, February 2, 2024.
Ideally, the development of future nanodevices requires a material that could exhibit multiple and reversible uptake/release of electrons. tStructural diversity and electron‐sponge‐like nature of polyoxometalates make them imperious contenders in designing next‐generation electrocatalytic water splitting and nonvolatile neuromorphic devices.
Waqar Ahmad, Nisar Ahmad, Kun Wang, Sumaira Aftab, Yunpeng Hou, Zhengwei Wan, Bei‐Bei Yan, Zhao Pan, Huai‐Ling Gao, Chen Peung, Yang Junke, Chengdu Liang, Zhihui Lu, Wenjun Yan, Min Ling   +14 more
wiley   +1 more source

A Hyperstructural Approach to Semisimplicity

Axioms
In this paper, we provide the basic properties of (semi)simple hypermodules. We show that if a hypermodule M is simple, then (End(M),·) is a group, where End(M) is the set of all normal endomorphisms of M. We prove that every simple hypermodule is normal projective with a zero singular subhypermodule.
Ergül Türkmen, Burcu Nisanci Türkmen, Hashem Bordbar   +2 more
openaire   +3 more sources

Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical

Journal of Mathematics, Volume 2024, Issue 1, 2024.
We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın, Burcu Nişancı Türkmen, Ma Xuanlong   +2 more
wiley   +1 more source

Algorithms for Finding Specific Elements in Algebraic‎ ‎Hyperstructures‎ ‎with‎ ‎One Hyperoperation [PDF]

Mathematics Interdisciplinary Research
‎In this paper‎, ‎first‎, ‎we show how to define an algebraic hyperstructure by using algorithms‎. ‎Then‎, ‎we present algorithms that calculate specific elements in algebraic hyperstructures‎. ‎These specific elements are‎: ‎scalars‎, ‎scalar identities‎
Aboutorab Pourhaghani, Seid Mohammad Anvariyeh, Bijan Davvaz   +2 more
doaj   +1 more source

Topological Properties of Prime Filters and Minimal Prime Filters on a Paradistributive Latticoid

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, we study the concepts of prime filters and minimal prime filters on a paradistributive latticoid (PDL) and discuss various results. In addition, we prove that the annihilator filter S• is equal to the intersection of all prime filters not containing S.
Suryavardhani Ajjarapu, Ravikumar Bandaru, Ramakoteswara Rao Kotha, Rahul Shukla, Anwar Saleh Alwardi   +4 more
wiley   +1 more source

Chemical hyperstructures for Astatine, Tellurium and for Bismuth

Bulletin of Computational Applied Mathematics, 2019
The concept of weak algebraic hyperstructures constitutes a generalization of the well-known algebraic hyperstructures. The aim of this paper is to present some of the results, methods and ideas about chemical examples of weak algebraic hyperstructures.
Madeline Al Tahan, Bijan Davvaz
doaj  

On P-H_v-Structures in a Two-Dimensional Real Vector Space

Ratio Mathematica, 2017
In this paper we study P-Hv-structures in connection with Hv-structures, arising from a specific P-hope in a two-dimensional real vector space. The visualization of these P-Hv-structures is our priority, since visual thinking could be an alternative and ...
Ioanna Iliou, Achilles Dramalidis
doaj   +1 more source

A Concise Introduction to HyperFuzzy, HyperNeutrosophic, HyperPlithogenic, HyperSoft, and HyperRough Sets with Practical Examples [PDF]

Neutrosophic Sets and Systems
Various set concepts are widely recognized for effectively a ddressing u ncertainty, i ncluding fuzzy sets, neutrosophic sets, plithogenic sets, rough sets, and soft sets.
Florentin Smarandache, Takaaki Fujita
doaj   +1 more source

On enumeration of \(EL\)-hyperstructures with 2 elements

Journal of Mahani Mathematical Research, 2022
$EL$-hypergroups  were defined by Chvalina 1995. Till now, no exact statistics of $EL$-hypergroups have been done. Moreover, there is no classification of $EL$-hypergroups and $EL^2$-hypergroups even over small sets. In this paper we classify all $EL$-(semi)hypergroups over sets with two elements obtained from quasi ordered semigroups.
Mirvakili, Saeed, Ghazavi, Sayed Hossein
openaire   +2 more sources