Chemical Examples in Hypergroups

Authors

  • B. Davvaz Department of Mathematics, University of Yazd, Yazd, Iran
  • A. Dehghan-Nezhad Department of Mathematics, University of Yazd, Yazd, Iran

Keywords:

hyperstructure, hypergroups, chain relation

Abstract

Hypergroups first were introduced by Marty in 1934. Up to now many researchers have been working on this field of modern algebra and developed it. It is purpose of this paper to provide examples of hypergroups associated with chemistry. The examples presented are connected to construction from chain reactions.

References

P. Corsini, Prolegomena of hypergroup theory, second edition, Aviani editor, (1993).

M.R. Darafsheh and B. Davvaz, Hv-ring of fractions, Italian J. Pure Appl.Math., 5 (1999) 25-34.

B. Davvaz, Weak Polygroups, Proc. 28th Annual Iranian Math. Conf, (1977), 139-145.

F. Marty, Sur une generalization de la notion de groupe, 8iem congres Math.Scandinaves, Stockhlom, (1934), 45-49.

Morrison and Boyd, Organic Chemistry, Sixth Eddition, Prentice-Hall, Inc, 1992.

T. Vougiouklis, A new class of hyperstructures, J. Combin. Inf. system Sci, 20, (1995), 229-235.

T. Vougiouklis, Hyperstructures and their repesentations, Hadronic Press Inc, (1994).

T. Vougiouklis, Convolution on WASS hyperstructures, Discrete Math., (1997), 347-355.

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Published

2003-02-16

Issue

Vol. 14 (2003)

Section

Volume 14-2003

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