Results 51 to 60 of about 394 (102)
Helix-Hopes on Finite Hyperfields
Ratio Mathematica, 2016 Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations. We study the helix-hyperstructures on the representations using ordinary fields.
Vougiouklis, Thomas +1 more
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Hyperfield extensions, characteristic one and the Connes-Consani plane connection [PDF]
, 2014 Inspired by a recent paper of Alain Connes and Catherina Consani which connects the geometric theory surrounding the elusive field with one element to sharply transitive group actions on finite and infinite projective spaces ("Singer actions"), we ...
Thas, Koen
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OVER THE CONSTRUCTION OF AN HYPERSTRUCTURE OF QUOTIENTS FOR A MULTIPLICATIIVE HYPERRING
Ratio Mathematica, 1997 In this paper we construct a weak hyperfield of quotients for a class of multiplicative hyperrings.
R. Procesi, R. Rota
doaj
N=2 Super-Yang-Mills Theory from a Chern-Simons Action
, 2012 We present a Chern-Simons action for N=2 Super-Yang-Mills theory (SYM) in 'full' N=2 superspace (hyperspace) augmented by coordinates of the internal SU(2) group and show that this action can be reduced to the usual SYM action in the Harmonic hyperspace.
A. Galperin +4 more
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Hyperfields for Tropical Geometry I. Hyperfields and dequantization
, 2010 47 pages, 5 figures, the previous version has been radically changed in order to add new references and correct ...
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Higher Spin Fields in Hyperspace. A Review
, 2018 We will give an introduction to the so-called tensorial, matrix or hyperspace approach to the description of massless higher-spin fields.Comment: 62 pages, invited review, references and clarifications added, published ...
Sorokin, Dmitri, Tsulaia, Mirian
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Advanced results in enumeration of hyperfields
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Ameri, M. Eyvazi, S. Hoskova-Mayerova
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Descartes' rule of signs, Newton polygons, and polynomials over hyperfields
, 2020 We develop a theory of multiplicities of roots for polynomials over hyperfields and use this to provide a unified and conceptual proof of both Descartes' rule of signs and Newton's "polygon rule".Comment: 21 pages.
Baker, Matthew, Lorscheid, Oliver
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, 2019 We develop a theory of extensions of hyperfields that generalizes the notion of field extensions. Since hyperfields have a multivalued addition, we must consider two kinds of extensions that we call weak hyperfield extensions and strong hyperfield extensions.
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From monoids to hyperstructures: in search of an absolute arithmetic
, 2010 We show that the trace formula interpretation of the explicit formulas expresses the counting function N(q) of the hypothetical curve C associated to the Riemann zeta function, as an intersection number involving the scaling action on the adele class ...
Connes, Alain, Consani, Caterina
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