Results 101 to 110 of about 177 (119)
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Classification of Krasner Hyperfields of Order 4
Acta Mathematica Sinica, English Series, 2020Let \(H\) be a non-empty set. A map from \(H\times H\) into the non-empty subsets of \(H\) is called a hyperoperation. The image of \((a,b)\) is denoted by \(ab\). Various notions generalize, one way or another, basic properties of groups. One such notion are polygroups. The authors study \(n\)-polygroups, where \(ab\) has at most \(n\) elements.
Hossien Aghabozorgi, Morteza Jafarpour
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On the hyperfield or field-of-field concept
International Journal of Geographical Information Science, 2013This article introduces the concept of hyperfield as a recursive field-of-field structure using a Unified Modelling Language UML modelling approach in two different variants, the hyperfield instance and hyperfield template models. The recursive property defines a hyperfield of degree n as a representation of a relation between n locations in ...
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Generalisations of Tropical Geometry over Hyperfields [PDF]
, 2022 Hyperfields are structures that generalise the notion of a field by way of allowing the addition operation to be multivalued. The aim of this thesis is to examine generalisations of classical theory from algebraic geometry and its combinatorial shadow, tropical geometry.
JAMES MAXWELL
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Hyperfield: a large constellation of hyperspectral nanosatellites
Algorithms, Technologies, and Applications for Multispectral and Hyperspectral Imaging XXIX, 2023Michal Shimoni +3 more
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A Field Theory Problem Relating to Questions in Hyperfield Theory [PDF]
AIP Conference Proceedings, 2011 Zacharias Anastassi
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IFAC Proceedings Volumes, 1983
Abstract Basically, σ- hyperfields on σ- complete De Morgan algebras are introduced and explored. Measurable spaces (topological spaces) are extended to hypermeasurable spaces (hypertopological spaces) constructed considering σ- hyperfields. Random sets are then given a pure measure theoretical definition and, finally, random fuzzy sets are ...
Wang Pei-Zhuang, E. Sanchez
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Abstract Basically, σ- hyperfields on σ- complete De Morgan algebras are introduced and explored. Measurable spaces (topological spaces) are extended to hypermeasurable spaces (hypertopological spaces) constructed considering σ- hyperfields. Random sets are then given a pure measure theoretical definition and, finally, random fuzzy sets are ...
Wang Pei-Zhuang, E. Sanchez
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A hypervaluation of a hyperfield onto a totally ordered canonical hypergroup [PDF]
Studia Scientiarum Mathematicarum Hungarica, 2015 S. Anvariyeh, Kh. Harijani
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Journal of Algebraic Hyperstructures and Logical Algebras
The first use of the largest class of hyper-structures, the Hv-structures, and their fundamental relations was to define the general hyper-field. Moreover, the enormous number Hv-structures defined on the same set, admits a partial order and has a lot of applications in pure mathematics and other sciences.
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The first use of the largest class of hyper-structures, the Hv-structures, and their fundamental relations was to define the general hyper-field. Moreover, the enormous number Hv-structures defined on the same set, admits a partial order and has a lot of applications in pure mathematics and other sciences.
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Theory of hyperrings and hyperfields
Algebra and Logic, 1985The notion of hyperfield was introduced by \textit{M. Krasner} [Colloq. d'Algèbre Supérieure, CBRM, Bruxelles 1956, 129-206 (1959; Zbl 0085.265)] who raised the following question: Are all hyperfields isomorphic to quotient hyperfields? He also raised an analogous question for hyperrings.
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Hyperaffine planes over hyperfields
Journal of Geometry, 1995The authors first study hyperaffine planes coordinatized over planar hyperfields. The main purpose of the paper is to show that if an abstract hyperaffine plane satisfies certain additional conditions 1-11, then there exists a hyperfield such that the coordinate plane over this hyperfield is isomorphic to the given hyperaffine plane.
Procesi Ciampi, R., Rota, R.
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