Abstract
In this paper, we consider hyperstructures (H, ·) whenH = {e, a, b}. We put a condition on (H, ·) wheree is a unit. We obtain minimal and maximalH v-groups, semigroups and quasigroups, using Mathematica 3.0 computer programs.
Similar content being viewed by others
References
S. C. Chung and B. M. Choi,H v-groups on the set {e,a,b}s>, to appear in Italian J. Pure App. Math.10.
S. F. Marty,Sur une generalisation de la notion de groupe,, 8th Congress Math. Scandinaves, Stockholm (1934), 45–49.
T. Vougiouklis,The fundamental relation in hyperrings. The general hyperfields, Proc. 4th Internat. Congress Algebraic Hyperstructures and Appl. (AHA) 1990 (World Scientific, Singapore, 1991), 203–211.
—,Hyperstructures and their representations,, Hardronic Press, Inc., U.S.A., 1994.
—, Hv-groupsdefined on the same set, Discrete Mathematics155 (1996), 259–265.
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper was supported by Woosuk University Research Fund in 2000.
Rights and permissions
About this article
Cite this article
Park, J., Chung, SC. On algorithms to compute someH V-groups. Korean J. Comput. & Appl. Math. 7, 433–453 (2000). https://doi.org/10.1007/BF03012204
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF03012204