Results 31 to 40 of about 504 (171)
Some Properties of Weak Γ‐Hyperfilters in OrderedΓ‐Semihypergroups
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 The main purpose of this paper is to study fundamental properties of weak Γ‐hyperfilters on ordered Γ‐semihypergroups that is a generalization of Γ‐hyperfilters. Also, we investigate the relationship between weak Γ‐hyperfilters and prime Γ‐hyperideals in ordered Γ‐semihypergroups.
Yongsheng Rao +4 more
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Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ‐Semihypergroups
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 We give some conditions on ordered Γ‐semihypergroups under which their interior hyperideal is equal to the hyperideal. In this paper, it is shown that in regular (resp., intraregular, semisimple) ordered Γ‐semihypergroups, the hyperideals and the interior hyperideals coincide.
Yongsheng Rao +4 more
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Vougiouklis Contributions in the Field of Algebraic Hyperstructures
Ratio Mathematica, 2017 Thomas Vougiouklis was born in 1948, Greece. He has many contributions to algebraic hyperstructures. $H_v$-structures are some of his main contributions.
Bijan Davvaz
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Ratio Mathematica, 2017 Fundamental structures are the main tools in the study of hyperstructures. Fundamental equivalence relations link hyperstructure theory to the theory of corresponding classical structures. They also introduce new hyperstructure classes.The present paper
Nikolaos Antampoufis, Sarka Mayerova
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The Hv-matrix representations [PDF]
Journal of Hyperstructures, 2017 The Theory of Representations of Hyperstructures was started in mid 80’s but that time there was not any general definition of hyperfield. The Hv-structures, were introduced in 4th AHA Congress 1990, and at the same time, the general definition of the ...
Thomas Vougiouklis
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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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n–ary hyperstructures constructed from binary quasi–ordered semigroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 Based on works by Davvaz, Vougiouklis and Leoreanu-Fotea in the field of n–ary hyperstructures and binary relations we present a construction of n–ary hyperstructures from binary quasi-ordered semigroups.
Novák Michal
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Composition in EL-hyperstructures
Hacettepe Journal of Mathematics and Statistics, 2017 Summary: The link between ordered sets and hyperstructures is one of the classical areas of research in the hyperstructure theory. In this paper we focus on \(EL\)-\textit{hyperstructures}, i.e. a class of hyperstructures constructed from quasi-ordered semigroups.
Novak, Michal, Cristea, Irina
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Ratio Mathematica, 2017 Last decades the hyperstructures have a lot of applications in mathematics and in other sciences. These applications range from biomathematics and hadronic physics to linguistic and sociology.
Thomas Vougiouklis
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From structures to weak hyperstructures [PDF]
Journal of Mahani Mathematical ResearchThe hyperstructures, born in 1934, are a generalization of the operation by the hyper-operation or multivalued operation. In 1970, the $\beta^*$ relation, called now fundamental, connects structures with corresponding hyperstructures.
Thomas Vougiouklis
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