Results 71 to 80 of about 535 (131)
The commutative quotient structure of m-idempotent hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The α* -relation is a fundamental relation on hyperrings, being the smallest strongly regular relation on hyperrings such that the quotient structure R/α* is a commutative ring.
Zadeh Azam Adineh +2 more
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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
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Complementary multiplicative hyperrings
Discrete Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PROCESI, Rita, ROTA R.
openaire +3 more sources
On topological quotient hyperrings and α*-relation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this research, we first introduce the concept of a topological Krasner hyperring and then proceed to investigate its properties. By applying relative topology to subhyperrings, we analyze the properties associated with them. In other words, the aim is
Zare A., Davvaz B.
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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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Construction of composition (m, n, k)-hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, our aim is to introduce the notion of a composition (m, n, k)-hyperring and to analyze its properties. We also consider the algebraic structure of (m, n, k) hyperrings which is a generalization of composition rings and composition ...
Davvaz B. +2 more
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Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper, we define linear codes and cyclic codes over a finite Krasner hyperfield and we characterize these codes by their generator matrices and parity check matrices.
Atamewoue Surdive +3 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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A family of 0-simple semihypergroups related to sequence A000070 [PDF]
, 2016 For any integer n 65 2, let R_0(n + 1) be the class of 0-semihypergroups H of size n + 1 such that {y} 86 xy 86 {0, y} for all x, y 08 H - {0}, all subsemihypergroups K 86 H are 0-simple and, when |K| 65 3, the fundamental relation \u3b2_K is not ...
De Salvo, Mario +3 more
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Structured Multisystems and Multiautomata Induced by Times Processes [PDF]
, 2015 V disertační práci diskutujeme binární hyperstruktury obecných lineárních diferenciálních operátorů druhého řádů a speciálně operátorů Jacobiho tvaru. Tyto operátory jsou motivovány modely specifických časových procesů.
Křehlík, Štěpán
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