Results 41 to 50 of about 504 (171)
Ratio Mathematica, 2020 Hyperstructures have applications in mathematics and in other sciences, which range from biology, hadronic physics, leptons, linguistics, sociology, to mention but a few.
Thomas Vougiouklis
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Helix-Hopes on Finite Hyperfields
Ratio Mathematica, 2016 Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations.
Thomas Vougiouklis, Souzana Vougiouklis
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Hyperstructures in Chemical Hyperstructures of Redox Reactions with Three and Four Oxidation States
JTAM (Jurnal Teori dan Aplikasi Matematika)Hyperstructures find numerous applications across various disciplines. One notable application is in chemistry, particularly in the context of chemical reactions.
Fakhry Asad Agusfrianto +2 more
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Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]
Mathematics and Computational SciencesIn this paper, we present some primary methods to define a hypergroupoid by algorithm. Then, we present algorithms for checking if it is closed under ο, associativity, weak associativity, commutativity, weak commutativity, establishing the reproduction ...
Aboutorab Pourhaghani +2 more
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Penentuan Hiperstruktur Aljabar dan Karakteristiknya dalam Masalah Pewarisan Biologi
Jambura Journal of MathematicsThis article discusses the application of mathematics in biological inheritance problems, which are closely linked to mathematical studies, particularly in algebraic hyperstructures, including hypergroupoids, hypergroups, and -semigroups.
Alifa Raida Alamsyah +2 more
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ON (m, n)-ARY P-Hv-MODULES AND THEIR ISOMORPHISM THEOREMS [PDF]
Journal of Algebraic SystemsAfter introducing the definition of hypergroups by Marty, the study of hyperstructures and its generalization to $(m,n)$-ary hyperstructures has been of great importance. In this paper, we construct the structure of $(m,n)$-ary $H_v$-modules over $(m,n)$-
M. Al Tahan, Bijan Davvaz
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Special Classes of H_b-Matrices
Ratio Mathematica, 2017 In the present paper we deal with constructions of 2x2 diagonal or upper-triangular or lower-triangular Hb-matrices with entries either of an Hb-field on ℤ2 or on ℤ3. We study the kind of the hyperstructures that arise, their unit and inverse elements.
Achilles Dramalidis
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Some Properties of Hyper Ideals in Hyper Hoop‐Algebras
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the structural properties of hyper ideals in hyper hoop‐algebras, a generalization of hoop‐algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and weak hyper ideals, as well as their absorptive and ...
Teferi Getachew Alemayehu +5 more
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On NeutroHyperrings and NeutroOrderedHyperrings [PDF]
Neutrosophic Sets and SystemsThe notion of Neutrosophic sets first introduced by Smarandache in 1998 as a generalization of intuitionistic fuzzy sets. Furthermore, Al-Tahan in 2022 introduced the notion of NeutroHyperstructures.
Fakhry Asad Agusfrianto +3 more
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AI Magazine, Volume 45, Issue 2, Page 267-269, Summer 2024.Abstract Earlier this year, OpenAI released their GPTs framework, allowing users to set up Large Language Model (LLM)‐based personas, orchestrate them into a workflow and even offering their AI apps within an app store. This is the latest, and maybe the easiest to set up, in a string of agent‐based LLM orchestration platforms in the past year ...
Babak Hodjat
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