What is it about?
In this paper, some chemical systems (dismutation reaction) of Tin (Sn), Indium (In) and Vanadium (V) which are represented by hyper-algebraic structures (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) were studied. It was shown that in the dismutation reactions, the left nuclear (Nλ)-probability, middle nuclear (Nµ)-probability and right nuclear (Nρ)-probability for each of the hyper-algebraic structures (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) less than 1.000. This implies that, (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) are non-associative hyper-algebraic structures. Also, from the results obtained for FLEX-probability, it was shown that, (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) have flexible elements because the values of their FLEX-probabilities are 1.000 each. Hence, (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) are flexible. Overall, (SV , ⊕) exhibited the lowest measure of weak-associativity, (SSn, ⊕) exhibited lower measure of weak-associativity, and (SIn, ⊕) exhibited a low measure of weak associativity.
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Why is it important?
This article is important because it reports the analysis of algebraic properties and the probabilities of elements in dismutation reactions. The analysis was carried out with the aid of computer codes in Python programming language.
Perspectives
Overall, (SV , ⊕) exhibited the lowest measure of weak-associativity, (SSn, ⊕) exhibited lower measure of weak-associativity, and (SIn, ⊕) exhibited a low measure of weak associativity.
Professor Temitope Gbolahan Jaiyeola
Obafemi Awolowo University
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This page is a summary of: Analysis of Weak Associativity in Some Hyper-Algebraic Structures that Represent Dismutation Reactions, match Communications in Mathematical and in Computer Chemistry, January 2025, University Library in Kragujevac,
DOI: 10.46793/match.94-2.385i.
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