The semigroup algebras ¹ ({N}) and ¹ ({N}₋₂₌) are BSE and BED-algebras

Key Points

• BSE and BED-algebras showcase advanced algebraic structures, enhancing mathematical theory.
• Key properties of semigroup algebras are demonstrated using gcd and lcm concepts, leading to important conclusions.
• Mathematical analysis focuses on the unique conditions of semigroup algebras for effective algebraic frameworks.
• Findings support the classification of these algebras, prompting further exploration in the field.