Results 61 to 70 of about 441 (192)
A Hyperstructural Approach to Semisimplicity
AxiomsIn 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 +2 more
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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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Contributions in Mathematics: Hyperstructures of Professor Thomas Vougiouklis
Ratio Mathematica, 2017 After presenting some basic notions of hyperstructures and their applications, I shall point out on the contribution of Professor Thomas Vougiouklis to this field of research: algebraic hyperstructures.
Violeta Leoreanu - Fotea
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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 +4 more
wiley +1 more source
HYPERHROUPS AND Hv-GROUPS ASSOCIATED TO ELEMENTS WITH FOUR OXIDATION STATES [PDF]
, 2019 The theory of hyperstructures is of great importance due to its connections to various fields of Science. $H_v$-structures are hyperstructures where the equality is replaced by the nonempty intersection. This class of the hyperstructures is very large so
Al-Jinani, Rawia +2 more
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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 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
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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.
core
An Investigation on Weak Concepts in Ordered Hyperstructures
, 2021 The class of weak pseudoorders and left weak interior hyperideals in ordered hyperstructures is a generalization of pseudoorders and interior hyperideals.
Jietong Zhao +4 more
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A Novel Neutrosophic Multi-Layered Complex Refined Hyperstructure: Theoretical Advancement with Illustrative Examples from Employee Mental Health Education Effectiveness in Enterprises [PDF]
Neutrosophic Sets and SystemsThis paper introduces a new theoretical structure in neutrosophic set theory called the Neutrosophic Multi-Layered Complex Refined Hyperstructure (NMCRH).
Min Zhang +4 more
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