Results 81 to 90 of about 592 (104)
REPRODUCED PRINCIPAL IDEAL DOMAIN ON GENERAL HYPERRING Zp^nq^m [PDF]
Every classical algebra is a set equipped with binary operations that operate under certain axiom principles. The generalization of classical algebras to hyperalgebras has been created with the aim of generalizing operations to hyperoperations that apply
Daneshpayeh, Roohallah +1 more
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Notes on valuation theory for Krasner hyperfields
, 2023 The main aim of this article is to study and develop valuation theory for Krasner hyperfields. In analogy with classical valuation theory for fields, we generalise the formalism of valuation rings to describe equivalence of valuations on hyperfields ...
Linzi, Alessandro
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Recent results in hyperring and hyperfield theory
International Journal of Mathematics and Mathematical Sciences, 1988 This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the sum of two elements is a subset of the structure.
Anastase Nakassis
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On Arithmetic Modular Categories [PDF]
, 2013 Modular categories are important algebraic structures in a variety of subjects in mathematics and physics. We provide an explicit, motivated and elementary definition of a modular category over a field of characteristic 0 as an equivalence class of ...
Davidovich, Orit +2 more
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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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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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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms.
Cristea Irina, Jančić-Rašović Sanja
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Vague soft hypermodules; connections with soft hypermodules and homomorphisms [PDF]
Journal of HyperstructuresIn this paper, the notion of vague soft hypermodules is introduced, which is an extension of the notions of vague soft hypergroups and vague soft hyperrings.
Tahere Nozari, Morteza Norouzi
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Multiplicative hyperring of fractions and coprime hyperideals
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
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Intuitionistic fuzzy set of Γ -submodules and its application in modeling spread of viral diseases, mutated COVID-n, via flights. [PDF]
Int J Intell Syst, 2022 Firouzkouhi N +4 more
europepmc +1 more source