On Inverse Semipolygroups

Main Article Content

Sutasinee Wannusit
Poonchayar Patthanangkoor

Abstract

Abstract


In this paper, we introduce the notions of the inverse semipolygroup and the normal subsemipolygroup. Some properties of inverse semipolygroup and normal subsemipolygroup are described. 


Keywords: semipolygroup; inverse semipolygroup; normal subsemipolygroup

Downloads

Download data is not yet available.

Article Details

How to Cite
Wannusit, S., & Patthanangkoor, P. (2019). On Inverse Semipolygroups. Thai Journal of Science and Technology, 8(4), 324–333. https://doi.org/10.14456/tjst.2019.40
Section
วิทยาศาสตร์กายภาพ
Author Biographies

Sutasinee Wannusit

Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Rangsit Centre, Khlong Nueng, Khlong Luang, Pathum Thani 12120

Poonchayar Patthanangkoor

Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Rangsit Centre, Khlong Nueng, Khlong Luang, Pathum Thani 12120

References

Comer, S.D., 1996, Hyperstructures Associated with the Character Algebras and Color Schemes, in New Frontiers in Hyperstructures, Hadronic Press, Palm Harbor.
Corsini, P., 1993, Prolegomena of Hypergroup Thoery, Tricesimo, Aviani Editore.
Davvaz, B., 2000, Strong regularity and fuzzy strong regularity in semihypergroups, Korean J. Appl. Math. 7: 205-213.
Davvaz, B., 2000, Some Results on congruences on semihypergroups, Bull. Malays. Math. Sci. Soc. (2nd Ser.) 23: 53-58.
Davvaz, B., 2010, The isomorphism theorems of polygroups, Bull. Malays. Math. Sci. Soc. (2nd Ser.) 33: 385-392.
Davvaz, B., 2013, Polygroup Theory and Related Systems, World Scientific Publishing Co., Pte., Ltd., Hacken-sack, New Jersey.
Howie, J.M., 1995, Fundamentals of Semigroup Theory. Oxford University Press, New York.
Jafarabadi, H.M., Sarmin, N.H. and Molaei, M.R., 2012, Completely simple and regular semi hypergroups, Bull. Malays. Math. Sci. Soc. (2nd Ser.) 35: 335-343.
Marty, F., 1934, Sur une generalization de la notion de group, p. 45-49, in Proceedings of the 8th Congress des Mathematiciens Scandinave, Stockholm.