Results 21 to 30 of about 140 (71)
The Hv-matrix representations [PDF]
Journal of Hyperstructures, 2017 The Theory of Representations of Hyperstructures was started in mid 80’s but that time there was not any general definition of hyperfield. The Hv-structures, were introduced in 4th AHA Congress 1990, and at the same time, the general definition of the ...
Thomas Vougiouklis
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Regular Parameter Elements and Regular Local Hyperrings
Mathematics, 2021 Inspired by the concept of regular local rings in classical algebra, in this article we initiate the study of the regular parameter elements in a commutative local Noetherian hyperring.
Hashem Bordbar, Irina Cristea
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Factorizations of tropical and sign polynomials [PDF]
, 2021 In this text, we study factorizations of polynomials over the tropical hyperfield and the sign hyperfield, which we call `tropical polynomials' and `sign polynomials', respectively. We classify all irreducible polynomials in either case.
Lorscheid, O. ; https://orcid.org/ +3 more
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Failure Mechanism of Gun Barrel Caused by Peeling of Cr Layer and Softening of Bore Matrix
Metals, 2021 Research on failure mechanism is essential for the prolonging of gun barrel lifetime. To explore the gun barrel failure mechanism, the damage characteristics of a machine gun barrel were characterized.
Zi-meng Wang +5 more
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Geometry of tropical extensions of hyperfields [PDF]
We study the geometry of tropical extensions of hyperfields, including the ordinary, signed, and complex tropical hyperfields. We introduce the framework of ‘enriched valuations’ as hyperfield homomorphisms to tropical extensions and show that a notable ...
Smith, Ben, Maxwell, James
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Perfect matroids over hyperfields [PDF]
, 2023 We investigate valuated matroids with an additional algebraic structure on their residue matroids. We encode the structure in terms of representability over stringent hyperfields.
Pendavingh, Rudi, Bowler, Nathan
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, 2020 In a recent paper Baker and Bowler introduced matroids over hyperfields, offering a common generalization of matroids, oriented matroids, and linear subspaces of based vector spaces.
Anderson, Laura, Davis, James F.
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Perfect matroids over hyperfields [PDF]
, 2019 A hyperfield $H$ is stringent if $a\boxplus b$ is a singleton unless $a=-b$, for all $a,b\in H$. By a construction of Marc Krasner, each valued field gives rise to a stringent hyperfield.
Pendavingh, RA Rudi +2 more
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Tropical Extensions and Baker-Lorscheid Multiplicities for Idylls [PDF]
, 2023 In a recent paper, Matthew Baker and Oliver Lorscheid showed that Descartes's Rule of Signs and Newton's Polygon Rule can both be interpreted as multiplicities of polynomials over hyperfields.
Gunn, Trevor
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Generalisations of Tropical Geometry over Hyperfields [PDF]
, 2022 Hyperfields are structures that generalise the notion of a field by way of allowing the addition operation to be multivalued. The aim of this thesis is to examine generalisations of classical theory from algebraic geometry and its combinatorial shadow ...
JAMES MAXWELL
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