Results 31 to 40 of about 177 (119)
Hypercompositional Algebra, Computer Science and Geometry
Mathematics, 2020 The various branches of Mathematics are not separated between themselves. On the contrary, they interact and extend into each other’s sometimes seemingly different and unrelated areas and help them advance. In this sense, the Hypercompositional Algebra’s
Gerasimos Massouros, Christos Massouros
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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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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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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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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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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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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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δ‐Primary Hyperideals on Commutative Hyperrings
International Journal of Mathematics and Mathematical Sciences, Volume 2017, Issue 1, 2017., 2017 The purpose of this paper is to define the hyperideal expansion. Hyperideal expansion is associated with prime hyperideals and primary hyperideals. Then, we define some of their properties. Prime and primary hyperideals’ numerous results can be extended into expansions.
Elif Ozel Ay +3 more
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Some Properties of Multiplicative Hv‐Rings of Polynomials over Multiplicative Hyperrings
Algebra, Volume 2014, Issue 1, 2014., 2014 The set of all polynomials R[x], over a multiplicative hyperring (R, + , ·), form a commutative group with respect to the component‐wise addition (+) of the polynomials. For polynomials f, g in R[x], f*g is a set of polynomials whose (k + 1)th components k∈N∪0 are chosen from the set ∑i+j=kai · bj, where ai and bj are the (i + 1)th and the (j + 1)th ...
Utpal Dasgupta, Andrei V. Kelarev
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