Results 71 to 80 of about 110 (80)
Some of the next articles are maybe not open access.
Extension of elliptic curves on Krasner hyperfields
Communications in Algebra, 2019AbstractThe aim of the article is to initiate a new study in the framework of algebraic hyperfields, with an applicative impact in cryptography.
Vahid Vahedi +2 more
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Journal of Algebraic Hyperstructures and Logical Algebras
The first use of the largest class of hyper-structures, the Hv-structures, and their fundamental relations was to define the general hyper-field. Moreover, the enormous number Hv-structures defined on the same set, admits a partial order and has a lot of applications in pure mathematics and other sciences.
openaire +1 more source
The first use of the largest class of hyper-structures, the Hv-structures, and their fundamental relations was to define the general hyper-field. Moreover, the enormous number Hv-structures defined on the same set, admits a partial order and has a lot of applications in pure mathematics and other sciences.
openaire +1 more source
Generalisations of Tropical Geometry over Hyperfields
2022Hyperfields 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, tropical geometry.
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1984
The concepts of (semi) hypergroups, hyperrings or hyperfields H differ from the ones of (semi) groups, rings, fields by replacing the operations of addition and multiplication by maps from H×H into the collection of nonempty subsets of H . A hyperring (H,∘,□) is complete if both (H,∘) and (H,□) are complete. The author gives examples for these concepts
openaire +1 more source
The concepts of (semi) hypergroups, hyperrings or hyperfields H differ from the ones of (semi) groups, rings, fields by replacing the operations of addition and multiplication by maps from H×H into the collection of nonempty subsets of H . A hyperring (H,∘,□) is complete if both (H,∘) and (H,□) are complete. The author gives examples for these concepts
openaire +1 more source
Descartes' rule of signs, Newton polygons, and polynomials over hyperfields
Journal of Algebra, 2021Matthew Baker, Oliver Lorscheid
exaly
Classification of doubly distributive skew hyperfields and stringent hypergroups
Journal of Algebra, 2021Nathan Bowler, Ting Su
exaly
Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines
Fuzzy Sets and Systems, 1985S E Rodabaugh
exaly
Notes on valuation theory for Krasner hyperfields
Israel Journal of MathematicsAlessandro Linzi
exaly