Hybrid quasi-ideals and hybrid A-ideals in ternary semigroups

Abstract

We are completely aware of the fact that ternary algebraic structures in some way naturally occur in diverse fields of theoretical and mathematical physics, computer science, especially in ternary operators in Java and Python, ternary logic applied for digital signal processing, and musical systems for song composition. The primary aim of this research is to examine ternary semigroups in the context of hybrid quasi-ideals and hybrid A-ideals. Different features of hybrid quasi-ideals and hybrid A-ideals in the ternary semigroup are discussed. In addition, the idea of minimal hybrid A-ideals of ternary semigroups is defined.

Keywords

• ternary semigroups
• quasi-ideals
• hybrid quasi-ideals
• a-ideals
• hybrid a-ideals