Redox reactions as experimental examples of ternary weak algebraic hyperstructures
type: Item
instance of: scholarly article
title: Redox reactions as experimental examples of ternary weak algebraic hyperstructures
zbMATH Open document ID: 1397.20073
author: Bijan Davvaz
author: Feng Feng
author: V. Leoreanu-Fotea
published in: Bulletin of Computational Applied Mathematics
publication date: 2018-08-07T00:00:00Z
full work available at URL: http://drive.google.com/open
review text: The authors point out that the algebraic structure of redox (oxidation-reduction) reactions of Ag, Cu, Am and Au can be described using weak associative ternary hyperoperations. A ternary hyperoperation on a set \(H\) is a mapping \(f:{H^3} \to {{\mathcal P}^*}(H)\). The operation is weak associative iff for \(\forall {a_1},{a_2},a_3^{},{a_4},{a_5} \in H\) \(f(f({a_1},{a_2},{a_3}),{a_4},{a_5}) \cap f({a_1},f({a_2},{a_3},{a_4}),{a_5}) \neq \emptyset \), \(f(f({a_1},{a_2},{a_3}),{a_4},{a_5}) \cap f({a_1},{a_2},f({a_3},{a_4},{a_5})) \neq \emptyset \) and \(f({a_1},f({a_2},{a_3},{a_4}),{a_5}) \cap f({a_1},{a_2},f({a_3},{a_4},{a_5})) \neq \emptyset \) holds.
reviewed by: Jaak Henno
Mathematics Subject Classification ID: 20N10
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 08A02
Mathematics Subject Classification ID: 92E20
zbMATH DE Number: 6914256
zbMATH Keywords: algebraic hyperstructure
zbMATH Keywords: ternary hyperoperation
zbMATH Keywords: weak associativity
zbMATH Keywords: \(H_v\)-semigroup
zbMATH Keywords: redox reactions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6914256