Results 41 to 50 of about 140 (71)
On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 [PDF]
The quotient hyperfield is a landmark on the borderline of fields and hyperfields. In this paper, which is the second part of our previously published paper, all the hyperfields of order 7 are constructed, enumerated and presented, in the course of which
Massouros, Gerasimos G. +1 more
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Factorization of polynomials over the symmetrized tropical semiring and Descartes' rule of sign over ordered valued fields [PDF]
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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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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Matroids over tropical extensions of tracts [PDF]
A tract $F$ is an algebraic structure where multiplication is defined but addition is only partially defined. They were introduced by Baker and Bowler as a unified framework to study generalisations of matroids, including oriented and valuated matroids ...
Smith, Ben
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Hyperfields and their applications in tropical geometry or matroid theory
, 2023 Hyperfields are algebraic structures generalizing the concept of an algebraic field. In contrast to classical fields, summation in a hyperfield is multivalued, that is, the sum of two elements is not a single element, but a whole set of elements ...
Andr, Břetislav
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Screened poisson hyperfields for shape coding [PDF]
, 2014 We present a novel perspective on shape characterization using the screened Poisson equation. We discuss that the effect of the screening parameter is a change of measure of the underlying metric space.
Guler, R. A. +5 more
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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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On the S-Spectrum of Krasner Hypermodules
<p>We study S-prime hyperideals by relating them to prime hyperideals. The S-prime hyperideals are studied in the hyperfield of fractions in the Krasner hyperring.
Aydin, Yildiz, Turkmen, Burcu Nisanci
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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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