Chemical salt reactions as algebraic hyperstructures

Document Type: Research Paper

Authors

1 Faculty of science, Mahallat Institute of Higher Education, Mahallat, Iran

2 Faculty of Engineering, Mahallat Institute of Higher Education, Mahallat, Iran

3 Department of Mathematics, Yazd University, Yazd, Iran

10.22052/ijmc.2018.114473.1339

Abstract

A salt metathesis reaction is a chemical process involving the exchange of bonds between two reacting chemical species, which results in the creation of products with similar or identical bonding affiliations.
Hyperstructure theory is studied from the theoretical point of view and for its applications.
In this paper, we provide some examples of hyperstructures associated with salt metathesis reactions, and we observe that these chemical reactions are examples of the phenomena when composition of two elements is a set of elements.

Keywords


1. K. M. Chun, Chemical hyperstructures of chemical reactions for iron and
idium, J. Chungcheong Math. Soc. 27 (2) (2014) 319−325.
2. S. -C. Chung, Chemical hyperstructures for vanadium, J. Chungcheong
Math. Soc. 27 (2) (2014) 309−317.
3. S. -C. Chung, K. M. Chun, N. J. Kim, S. Y. Jeong, H. Sim, J. Lee and H.
Maeng, Chemical hyperalgebras for three consecutive oxidation states of
elements, MATCH Commun. Math. Comput. Chem. 72 (2) (2014) 389−402.
4. P. Corsini and V. Leoreanu, Applications of Hyperstructures Theory,
Advanced in Mathematics, Kluwer Academic Publisher, 2003.
5. B. Davvaz, Weak algebraic hyperstructures as a model for interpretation of
chemical reactions, Iranian J. Math. Chem. 7 (2) (2016) 267−283.
6. B. Davvaz and A. Dehgan-Nezhad, Chemical examples in hypergroups,
Ratio Mat. 14 (2003) 71−74.

7. B. Davvaz, A brief survey of the theory of H􀭴-structures, Proc. 8th
International Congress on Algebraic Hyperstructures and Applications, 1−9
September 2002, Samothraki, Greece, Spanidis Press, 2003, pp. 39−70.
8. B. Davvaz, A. Dehghan Nezhad and A. Benvidi, Chemical hyperalgebra:
Dismutation reactions, MATCH Commun. Math. Comput. Chem. 67 (2012)
55−63.
9. B. Davvaz, A. Dehghan Nezhad and A. Benvidi, Chain reactions as
experimental examples of ternary algebraic hyperstructures, MATCH
Commun. Math. Comput. Chem. 65 (2) (2011) 491−499.
10. B. Davvaz and A. Dehghan Nezhad, Dismutation reactions as experimental
verifications of ternary algebraic hyperstructures, MATCH Commun. Math.
Comput. Chem. 68 (2012) 551−559.
11. B. Davvaz, A. Dehghan Nezhad and M. Mazloum-Ardakani, Chemical
hyperalgebra: Redox reactions, MATCH Commun. Math. Comput. Chem.
71 (2014) 323−331.
12. B. Davvaz, Semihypergroup Theory, Elsevier/Academic Press, London,
2016.
13. F. Marty, Sur une generalization de la notion de group, In 8th Congress
Math. Scandenaves, 1934, pp. 45−49.
14. Ch. E. Mortimer, Chemistry, Wadsworth Pub Co, 6 Sub edition, 1986.
15. T. Vougiouklis, H􀭴-groups defined on the same set, Discrete Math. 155
(1996) 259−265.
16. T. Vougiouklis, Hyperstructures and Their Representations, Hadronic
Press, Inc, 115, Palm Harber, USA, 1994.
17. T. Vougiouklis, The fundamental relation in hyperrings. The general
hyperfield, Proc. Fourth Int. Congress on Algebraic Hyperstructures and
Appl. (AHA 1990), World Scientific, 1991, pp. 203−211.