Semiprime ideals and prime segments of ordered ternary semigroups

Key Points

• The study explores how semiprime ideals behave in the context of ordered ternary semigroups, leading to new insights.
• It includes a detailed analysis of the properties of prime segments within these algebraic structures.
• Key findings reveal the significance of order relations in defining the behavior of these ideals and segments.
• Implications of this work may enhance understanding of algebraic structures in mathematics, specifically in ideal theory.