Results 71 to 80 of about 310 (116)
Descartes' rule of signs, Newton polygons, and polynomials over hyperfields
, 2020 We develop a theory of multiplicities of roots for polynomials over hyperfields and use this to provide a unified and conceptual proof of both Descartes' rule of signs and Newton's "polygon rule".Comment: 21 pages.
Baker, Matthew, Lorscheid, Oliver
core
AN APPROACH TO SEMIHYPERMODULES OVER SEMIHYPERRINGS [PDF]
In this paper, we introduce semihypermodules over semihyperrings as a generalization of semimodules over semirings. Besides studying their properties, we introduce an equivalence relation on them and use it to define factor semihypermodules. Moreover, we
Al Tahan, Madeleine, Davvaz, Bijan
core +1 more source
On graded absorbing hyperideals in graded Krasner hyperrings [PDF]
, 2022 P. Ghiasvand +3 more
openalex +1 more source
$n-$absorbing $I-$prime hyperideals in multiplicative hyperrings
, 2023 In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$.
Akray, Ismael, Mina, Ali A.
core
Ф-δ-Primary Hyperideals in Krasner Hyperrings
, 2022 China Postdoctoral Science Foundation -- 2021M700920 -- AcknowledgmentsThis work was funded in part by China Postdoctoral Science Foundation (grant no. 2021M700920).
Guan, Hao +5 more
openaire +2 more sources
Polygroup objects in regular categories
AIMS MathematicsWe express the fundamental properties of commutative polygroups (also known as canonical hypergroups) in category-theoretic terms, over the category $ \mathbf{Set} $ formed by sets and functions.
Alessandro Linzi
doaj +1 more source
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 adele class ...
Connes, Alain, Consani, Caterina
core
Primitive hyperideals and hyperstructure spaces of hyperrings [PDF]
We introduce primitive hyperideals of a hyperring $R$ and show how they are related to $R$ itself, and to maximal and prime hyperideals of $R$. We endow a Jacobson topology on the set of primitive hyperideals of $R$ and study the topological properties ...
Amartya Goswami +2 more
core +1 more source
Near Krasner hyperrings on nearness approximation space [PDF]
, 2022 M. Mostafavi, B. Davvaz
openalex +1 more source