Results 51 to 60 of about 110 (80)

Hypernorm on hypervector spaces over a hyperfield

open access: yesThe Journal of Analysis
AbstractHypernorm is a generalization of the notion of a norm on a vector space over a field. In this paper, we consider a hypervector space $$(\mathbb {V}, +)$$ ( V , + ) over a hyperfield, where $$+
P. Pallavi   +4 more
openaire   +1 more source

The organization of spatial coding in the hippocampus: a study of neural ensemble activity. [PDF]

open access: yesJ Neurosci, 1989
Eichenbaum H   +3 more
europepmc   +1 more source

Signed Tropicalization of Polar Cones. [PDF]

open access: yesJ Optim Theory Appl
Akian M   +3 more
europepmc   +1 more source

Stationary Fourier Hyperfields

open access: yesStationary Fourier Hyperfields
In this paper, we define stationary Fourier hyperfields and prove the structure theorems of stationary Fourier hyperfields. Thereby we determine the whole class of all stationary Fourier hyperfields.
openaire  

Orderings and valuations in hyperfields

open access: yesJournal 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
exaly   +5 more sources

Geometry of hyperfields

open access: yesJournal of Algebra, 2021
26 pages, Final version to appear in Journal of ...
Jaiung Jun
exaly   +3 more sources

Hyperhomographies on Krasner Hyperfields [PDF]

open access: yesSymmetry, 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
exaly   +2 more sources

Hyperfields, truncated DVRs, and valued fields [PDF]

open access: yesJournal of Number Theory, 2020
For any two complete discrete valued fields $K_1$ and $K_2$ of mixed characteristic with perfect residue fields, we show that if the $n$-th valued hyperfields of $K_1$ and $K_2$ are isomorphic over $p$ for each $n\ge1$, then $K_1$ and $K_2$ are isomorphic.
Junguk Lee
exaly   +4 more sources

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