TRI-HYPER_IDEALS OF TERNARY SEMIHYPERRINGS

Abstract

In this paper, we will newly establish the notion of a tri_hyper_ideal as a characterization ofbi_quasi_interior hyper_ideal,quasi-interior hyper_ideal, bi-interior hyper_ideal, bi-quasi hyper_ideal, quasi hyper_ideal, interior hyper_ideal,left(right) hyper_ideal and hyper_ideal of a ternary semihyperring. Then, we study the properties of tri-hyper_ideals of a ternary semihyperring and characterize the tri-simple ternary semihyperring using tri-hyper_ideals of a ternary semihyperring.