Results 21 to 30 of about 394 (102)
$\lambda$-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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Derived Hyperstructures from Hyperconics
Mathematics, 2020 In this paper, we introduce generalized quadratic forms and hyperconics over quotient hyperfields as a generalization of the notion of conics on fields.
Vahid Vahedi +5 more
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Hyperhomographies on Krasner Hyperfields [PDF]
Symmetry, 2019 In this paper, we introduce generalized homographic transformations as hyperhomographies over Krasner hyperfields.These particular algebraic hyperstructues are quotient structures of classical fields modulo normal groups. Besides, we define some hyperoperations and investigate the properties of the derived hypergroups and H v -groups associated ...
Vahid Vahedi +2 more
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Orderings and valuations in hyperfields
Journal of Algebra, 2022 We introduce and study in detail the notion of compatibility between valuations and orderings in real hyperfields. We investigate their relation with valuations and orderings induced on factor and residue hyperfields. Much of the theory from real fields can be generalized to real hyperfields; we point out facts that cannot. We generalize the Baer-Krull
Katarzyna Kuhlmann +2 more
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The moduli space of matroids [PDF]
, 2018 In the first part of the paper, we clarify the connections between several algebraic objects appearing in matroid theory: both partial fields and hyperfields are fuzzy rings, fuzzy rings are tracts, and these relations are compatible with the respective ...
Baker, Matthew, Lorscheid, Oliver
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Journal of Algebra, 2021 26 pages, Final version to appear in Journal of ...
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Superring of Polynomials over a Hyperring
Mathematics, 2019 A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the addition is multivalued and the multiplication is as usual single valued and satisfies the usual ring properties.
Reza Ameri +2 more
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Bayesian Reconstruction of Approximately Periodic Potentials at Finite Temperature [PDF]
, 2000 The paper discusses the reconstruction of potentials for quantum systems at finite temperatures from observational data. A nonparametric approach is developed, based on the framework of Bayesian statistics, to solve such inverse problems.
Lemm, J. C., Uhlig, J., Weiguny, A.
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Hopf algebras for matroids over hyperfields [PDF]
Journal of Algebra, 2020 Recently, M.~Baker and N.~Bowler introduced the notion of matroids over hyperfields as a unifying theory of various generalizations of matroids. In this paper we generalize the notion of minors and direct sums from ordinary matroids to matroids over hyperfields.
Szczesny, Matt M. +2 more
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