Results 71 to 80 of about 176 (118)
, 2020 The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Tapas K Samanta, Sanjay Roy
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Notes on valuation theory for Krasner hyperfields
, 2023 The main aim of this article is to study and develop valuation theory for Krasner hyperfields. In analogy with classical valuation theory for fields, we generalise the formalism of valuation rings to describe equivalence of valuations on hyperfields ...
Linzi, Alessandro
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On the asymptotic behavior of finite hyperfields
21 pages, 1 ...
Le, Tuong, Lowen, Chayim
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Convex geometry over ordered hyperfields
Innovations in Incidence Geometry: Algebraic, Topological and CombinatorialWe initiate the study of convex geometry over ordered hyperfields. We define convex sets and halfspaces over ordered hyperfields, presenting structure theorems over hyperfields arising as quotients of fields. We prove hyperfield analogues of Helly, Radon and Carathéodory theorems. We also show that arbitrary convex sets can be separated via hemispaces.
Maxwell, James, Smith, Ben
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Root selections and 2^p-th root selections in hyperfields
Discussiones Mathematicae - General Algebra and Applications, 2019 In this paper we define root selections and 2p-th root selections for hyperfields: these are multiplicative subgroups whose existence is equivalent to the existence of a well behaved square root function and 2p-th root function, respectively. We proceed to investigate some basic properties of such root selections, and draw some parallels between the ...
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On modified tropical hyperfield and the zero sets of polynomials [PDF]
, 2017 5論文Articledepartmental bulletin ...
小田切, 真輔 +3 more
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, 2023 Preprint arXiv:2310.05257This paper treats linear algebra over a semiring pair, in a wide range of applications to tropical algebra and related areas such as hyperrings and fuzzy rings.
Rowen, Louis +2 more
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Sur les hypergroupes polysymétriques commutatifs
, 1986 Si presenta un breve studio di ipergruppi polisimmetrici (risultati dalla considerazione di matrici con elementi tratti da un ipercorpo [2], [7], [11]) nel caso commutativo.
Mittas, Jean, Ioulidis, Stavros
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A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception. [PDF]
Vision (Basel), 2018 Neilson PD, Neilson MD, Bye RT.
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Matroids over tropical extensions of tracts
A tract $F$ is an algebraic structure where multiplication is defined but addition is only partially defined. They were introduced by Baker and Bowler as a unified framework to study generalisations of matroids, including oriented and valuated matroids ...
Smith, Ben
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