Results 51 to 60 of about 177 (119)
Towards the horizons of Tits's vision -- on band schemes, crowds and F1-structures [PDF]
, 2023 This text is dedicated to Jacques Tits's ideas on geometry over F1, the field with one element. In a first part, we explain how thin Tits geometries surface as rational point sets over the Krasner hyperfield, which links these ideas to combinatorial flag
Thas, Koen, Lorscheid, Oliver
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$\lambda$-CONSTACYCLIC CODES OVER FINITE KRASNER HYPERFIELDS
Facta Universitatis, Series: Mathematics and Informatics, 2022 The class of constacyclic codes plays an important role in the theory or error-correcting codes. They are considered as a remarkable generalization of cyclic codes. In this paper, we study constacyclic codes over finite Krasner hyperfields in which we characterize them by their generating polynomial.
Tahan, Madeleine Al, Davvaz, Bijan
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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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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
EXTENDED CENTROID OF HYPERRINGS [PDF]
, 2020 In this paper, the notation of extended centroid is applied to hy-perring. We show that the extended centroid C of a hyperring is a hyperfield. Also, we show that if a, b ? S such that axb = bxa for all x ? R, then there exists q ?
Yazarli, Hasret +2 more
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THE CLASS OF KRASNER HYPERFIELDS IS NOT ELEMENTARY
The Journal of Symbolic LogicAbstract We show that the class of Krasner hyperfields is not elementary. To show this, we determine the rational rank of quotients of multiplicative groups in field extensions. We also discuss some related questions.
Błaszkiewicz, Piotr, Kowalski, Piotr
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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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Over the construction of an hyperstructure of quotients for a multiplicative hyperring [PDF]
, 1997 In this paper we construct a weak hyperfield of quotients for a class of multiplicative ...
PROCESI R. +5 more
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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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