Results 21 to 30 of about 176 (118)
Hyperhomographies on Krasner Hyperfields [PDF]
Symmetry, 2019 In this paper, we introduce generalized homographic transformations as hyperhomographies over Krasner hyperfields.These particular algebraic hyperstructues are quotient structures of classical fields modulo normal groups. Besides, we define some hyperoperations and investigate the properties of the derived hypergroups and H v -groups associated ...
Vahid Vahedi +2 more
exaly +2 more sources
Perfect matroids over hyperfields [PDF]
arXiv, 2019 19 ...
Bowler, Nathan, Pendavingh, Rudi A.
core +5 more sources
Derived Hyperstructures from Hyperconics
Mathematics, 2020 In this paper, we introduce generalized quadratic forms and hyperconics over quotient hyperfields as a generalization of the notion of conics on fields.
Vahid Vahedi +2 more
exaly +3 more sources
AIMS Mathematics127 pages, 305 tables Subj-class: math.RA - Rings and Algebras MSC-class: 16Y20 (Primary); 20N20 (Secondary) We extend the results of our previous papers and we reduce the axioms of the definition of the hyperfield. This facilitates the construction, enumeration and classification of all the hyperfields of order 7, while also revealing an important ...
Massouros, Christos G. +1 more
openaire +3 more sources
Geometry of tropical extensions of hyperfields [PDF]
Proceedings of the Royal Society of Edinburgh: Section A MathematicsWe 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 family of them are relatively algebraically closed.
James Maxwell, Ben Smith
openaire +4 more sources
Hypernorm on hypervector spaces over a hyperfield
Journal of AnalysisAbstractHypernorm is a generalization of the notion of a norm on a vector space over a field. In this paper, we consider a hypervector space $$(\mathbb {V}, +)$$ ( V , + ) over a hyperfield, where $$+
Syam Prasad Kuncham +1 more
exaly +2 more sources
A Result of Krasner in Categorial Form
Mathematics, 2023 In 1957, M. Krasner described a complete valued field (K,v) as the inverse limit of a system of certain structures, called hyperfields, associated with (K,v).
Alessandro Linzi
doaj +1 more source
ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan +6 more
wiley +1 more source
On 1‐Absorbing Prime Hyperideal and Some of Its Generalizations
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce the concept of 1‐absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided. For example, it is proved that if a strong C‐hyperideal I of R is 1‐absorbing prime that is not prime, then R is a local multiplicative hyperring.
M. Anbarloei +1 more
wiley +1 more source
Universal partial hyperfields of matroids and their prespaces of orderings [PDF]
, 2023 We associate a partial hyperfield ⁽⁰⁾(M) with every matroid M by defining an addition on the elements of its inner Tutte group with an additional zero element such that M is representable over ⁽⁰⁾(M), and every representation of M over a partial ...
Hoya, Marcel
core +1 more source