On Anti-ideals in Ternary Semigroups

Key Points

• The study defines various types of anti-ideals within ternary semigroups, highlighting distinct properties of each.
• A key finding is the establishment of specific conditions under which a ternary semigroup may lack anti-ideals.
• The research methodically explores the relationships between anti-ideals and the structural aspects of ternary semigroups.
• Understanding these anti-ideals can provide insights into the algebraic properties and classifications of semigroups.