Results 41 to 50 of about 131 (103)
Ternary Menger hyperalgebras: some algebraic properties
Қарағанды университетінің хабаршысы. Математика сериясыIn this article, we first establish an algebraic hyperstructure called a ternary Menger hyperalgebra of rank n, where n is a natural number. The algebraic hyperstructure can be regarded as a novel generalization of ternary semihypergroups. In particular,
A. Nongmanee, S. Leeratanavalee
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ON PROXIMITY SPACES AND TOPOLOGICAL HYPER NEARRINGS
, 2020 In 1934 the concept of algebraic hyperstructures was.rst introduced by a French mathematician, Marty. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the result of this composition ...
Borhani-Nejad, Somaye, Davvaz, B.
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On Hyperideals in Left Almost Semihypergroups [PDF]
, 2011 This paper deals with a class of algebraic hyperstructures called left almost semihypergroups (LA-semihypergroups), which are a generalization of LA-semigroups and semihypergroups.
Kostaq Hila, Jani Dine
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Higher Algebraic Structures and General Field Theories
, 2023 In this paper we show how the hyperstructure concept leads to new algebraic structures and general field theories.Comment: Some changes and additions.Again,the main point is to outline a series of ideas regarding higher structures using the ...
Baas, Nils A.
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Operations on hyperideals in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize
Omidi S., Davvaz B., Corsini P.
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Computation in Algebraic Hyperstructures
ComputationThe concept of the relation β plays a central role in the study of hypercompositional structures. In this paper, we extend the definition of β to the general framework of hypergroupoids and develop an algorithm to compute its elements and its transitive closure β★.
Yuming Feng 0001 +2 more
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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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Hyperideal theory in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
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Neutrosophic Sets and Systems [PDF]
, 2013 Neutrosophic Sets and Systems has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as ...
Smarandache, Florentin (Editor-in-Chief)
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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 +2 more
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