Results 51 to 60 of about 140 (71)
, 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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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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Oriented-valuated matroids and real tropical linear spaces
We intend to give a correspondence between matroids over the hyperfield $\Ss\T$ with real tropical linear spaces. The first of these objects are generalizations of matroids using hyperfield theory, which have forgetful functors that give valuated ...
Molina Giraldo, Andrés
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HYPERFIELD EXTENSIONS, CHARACTERISTIC ONE AND THE CONNES-CONSANI PLANE CONNECTION
, 2014 Koen Thas
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Tropical geometry over the tropical hyperfield [PDF]
Rocky Mountain Journal of Mathematics, 2022 We merge ideas around the tropical hyperfield with the theory of ordered blueprints to give a new formulation of tropical scheme theory. The key insight is that a nonarchimedean absolute value can be considered as a morphism into the tropical hyperfield.
Oliver Lorscheid
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Advances in Mathematics, 2019 In a recent paper Baker and Bowler introduced matroids over hyperfields, offering a common generalization of matroids, oriented matroids, and linear subspaces of based vector spaces.
James F Davis
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A Field Theory Problem Relating to Questions in Hyperfield Theory
AIP Conference Proceedings, 2011 Charalampos Tsitouras +1 more
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On Weak Hypervector Spaces Over a Hyperfield
Indian Statistical Institute Series, 2023Harikrishnan P K, Syam Prasad Kuncham
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