Results 31 to 40 of about 123 (65)
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
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Nontrivial solutions for homogeneous linear equations over some non-quotient hyperfields
, 2023 We introduce a class of hyperfields which includes several constructions of non-quotient hyperfields. We then use it to partially answer a question posed by M. Baker and T.
Hobby, David, Jun, Jaiung
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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
Perfect matroids over hyperfields
, 2020 We investigate valuated matroids with an additional algebraic structure on their residue matroids. We encode the structure in terms of representability over stringent hyperfields.
Bowler, Nathan, Pendavingh, Rudi
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A Journey to Fuzzy Rings [PDF]
, 2017 Enumerative geometry is a very old branch of algebraic geometry. In this thesis, we will describe several classical problems in enumerative geometry and their solutions in order to motivate the introduction of tropical geometry.
Ernst, Brett T
core +1 more source
Hypermatrix Based on Krasner Hypervector Spaces [PDF]
, 2013 In this paper we extend a very specific class of hypervector spaces called Krasner hypervector spaces in order to obtain a hypermatrix. For reaching to this goal, we will define dependent and independent vectors in this kind of hypervector space and ...
Ameri, R. +2 more
core +1 more source
, 2020 Matroids over tracts provide an algebraic framework simultaneously generalizing the notions of linear subspaces, matroids, oriented matroids, valuated matroids, phased matroids, and some other "matroids with extra structure", presented by Baker and ...
Su, Ting
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Hypergroup Theory and Algebrization of Incidence Structures [PDF]
, 2023 Dario Fasino, Domenico Freni
core +1 more source
Merging N-hyperideals and J-hyperideals in one frame
The notions of N-hyperideals and J-hyperideals as two classes of hyperideals were recently defined in the context of Krasner (m,n)-hyperrings. These concepts are created on the basis of the intersection of all n-ary prime hyperideals and the intersection
Anbarloei, Mahdi
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On weakly S-primary hyyperideals
In this paper, our purpose is to introduce and study the notion of weakly n-ary S-primary hyperideals in a commutative Krasner (m,n)-hyperring.Comment: arXiv admin note: substantial text overlap with arXiv:2408.00430; text overlap with arXiv:2205.15318,
Anbarloei, Mahdi
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