Results 61 to 70 of about 176 (118)
EXTENDED CENTROID OF HYPERRINGS
, 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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A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement. [PDF]
Vision (Basel), 2021 Neilson PD, Neilson MD, Bye RT.
europepmc +1 more source
The Riemannian Geometry Theory of Visually-Guided Movement Accounts for Afterimage Illusions and Size Constancy. [PDF]
Vision (Basel), 2022 Neilson PD, Neilson MD, Bye RT.
europepmc +1 more source
Over the construction of an hyperstructure of quotients for a multiplicative hyperring
, 1997 In this paper we construct a weak hyperfield of quotients for a class of multiplicative ...
PROCESI R. +5 more
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Hypergroups and hyperfields in universal algebra
, 2016 Hypergroups are lifted to power semigroups with negation, yielding a method of transferring results from semigroup theory. This applies to analogous structures such as hypergroups, hyperfields, and hypermodules, and permits us to transfer the general theory from universal algebra. Special attention is given to the examples from Baker's article.
openaire +2 more sources
On the hyperfields associated to valued fields
Journal of Pure and Applied AlgebraOne can associate to a valued field an inverse system of valued hyperfields $(\mathcal{H}_i)_{i \in I}$ in a natural way. We investigate when, conversely, such a system arise from a valued field. First, we extend a result of Krasner by showing that the inverse limit of certain systems are stringent valued hyperfields.
Alessandro Linzi, Pierre Touchard
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International audienceThe symmetrized tropical semiring is an extension of the tropical semifield, initially introduced to solve tropical linear systems using Cramer's rule.
Akian, Marianne +2 more
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Signed tropical halfspaces and convexity [PDF]
We extend the fundamentals for tropical convexity beyond the tropically positive orthant expanding the theory developed by Loho and Végh (ITCS 2020). We study two notions of convexity for signed tropical numbers called 'TO-convexity' (formerly 'signed ...
Loho, G., Skomra, M.
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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 adèle class ...
Alain Connes, Caterina Consani
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