On Ternary Semigroups Containing -Ideals

Authors

  • Wichayaporn Jantanan
  • Thongsa Butngam
  • Natee Raikham

Abstract

In this article, we give a definition of the -ideal in a ternary semigroup. We study some interesting properties of the -ideal and the relationship between the proper two-sided ideal and the -ideal. Finally, we show that if a two-sided ideal  is a regular ternary subsemigroup of a regular ternary semigroup  then every -ideal of  is also a -ideal of Keywords :  ternary semigroup ; regular ternary semigroup ; two-sided ideal ; -ideal

References

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Published

2023-01-04