Results 71 to 80 of about 177 (119)
Sur les hypergroupes polysymétriques commutatifs [PDF]
, 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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On the hyperfields associated to valued fields
Journal of Pure and Applied AlgebraOne can associate to a valued field an inverse system of valued hyperfields $(\mathcal{H}_i)_{i \in I}$ in a natural way. We investigate when, conversely, such a system arise from a valued field. First, we extend a result of Krasner by showing that the inverse limit of certain systems are stringent valued hyperfields.
Alessandro Linzi, Pierre Touchard
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Matroids over tropical extensions of tracts [PDF]
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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Signed tropical halfspaces and convexity [PDF]
We extend the fundamentals for tropical convexity beyond the tropically positive orthant expanding the theory developed by Loho and Végh (ITCS 2020). We study two notions of convexity for signed tropical numbers called 'TO-convexity' (formerly 'signed ...
Loho, G., Skomra, M.
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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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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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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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Lifetime Performance Analysis of a Hyperspectral Imager Based on a Piezoelectrically Tunable Fabry-Perot Interferometer [PDF]
The calibration stability of miniature spectral imagers based on a piezolectrically tunable Fabry-Perot interferometer (FPI) has not been previously examined in long-term use.
Pölönen, Ilkka +6 more
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